Understand Unit Rate Concept - 6th Grade Math
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What unit rate corresponds to the ratio $3:4$ (first quantity per $1$ of second)?
What unit rate corresponds to the ratio $3:4$ (first quantity per $1$ of second)?
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$\frac{3}{4}$ per $1$. Divide the first quantity by the second: $\frac{3}{4}$.
$\frac{3}{4}$ per $1$. Divide the first quantity by the second: $\frac{3}{4}$.
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Find the unit rate (days per page) for reading $45$ pages in $9$ days.
Find the unit rate (days per page) for reading $45$ pages in $9$ days.
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$\frac{1}{5}$ day per page. Divide days by pages: $\frac{9}{45} = \frac{1}{5}$.
$\frac{1}{5}$ day per page. Divide days by pages: $\frac{9}{45} = \frac{1}{5}$.
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What is the unit rate (cups of sugar per cup of flour) for flour:sugar = $3:4$?
What is the unit rate (cups of sugar per cup of flour) for flour:sugar = $3:4$?
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$\frac{4}{3}$ cups sugar per $1$ cup flour. Divide cups of sugar by cups of flour: $\frac{4}{3}$.
$\frac{4}{3}$ cups sugar per $1$ cup flour. Divide cups of sugar by cups of flour: $\frac{4}{3}$.
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Identify the unit rate (dollars per hamburger) for $\$75$ for $15$ hamburgers.
Identify the unit rate (dollars per hamburger) for $\$75$ for $15$ hamburgers.
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$\$5$ per hamburger. Divide total cost by number of items: $\frac{75}{15} = 5$.
$\$5$ per hamburger. Divide total cost by number of items: $\frac{75}{15} = 5$.
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Find the unit rate (pages per day) for reading $45$ pages in $9$ days.
Find the unit rate (pages per day) for reading $45$ pages in $9$ days.
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$5$ pages per day. Divide total pages by days: $\frac{45}{9} = 5$.
$5$ pages per day. Divide total pages by days: $\frac{45}{9} = 5$.
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Identify the unit rate (ounces per dollar) for $\$6$ for $8$ ounces.
Identify the unit rate (ounces per dollar) for $\$6$ for $8$ ounces.
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$\frac{4}{3}$ ounces per dollar. Divide ounces by cost: $\frac{8}{6} = \frac{4}{3}$.
$\frac{4}{3}$ ounces per dollar. Divide ounces by cost: $\frac{8}{6} = \frac{4}{3}$.
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What is the definition of a unit rate for a ratio $a:b$ with $b \ne 0$?
What is the definition of a unit rate for a ratio $a:b$ with $b \ne 0$?
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Unit rate is $\frac{a}{b}$, meaning “$a$ per $1$ of $b$.”. Expresses how much of the first quantity corresponds to one unit of the second.
Unit rate is $\frac{a}{b}$, meaning “$a$ per $1$ of $b$.”. Expresses how much of the first quantity corresponds to one unit of the second.
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What does the unit rate $\frac{a}{b}$ mean in words for a ratio $a:b$?
What does the unit rate $\frac{a}{b}$ mean in words for a ratio $a:b$?
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It means “$\frac{a}{b}$ units of the first quantity per $1$ unit of the second.”. Unit rate shows the amount of first quantity for each single unit of second quantity.
It means “$\frac{a}{b}$ units of the first quantity per $1$ unit of the second.”. Unit rate shows the amount of first quantity for each single unit of second quantity.
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Find and correct the unit rate error: “Ratio $10:2$ gives unit rate $\frac{2}{10}$ per $1$.”
Find and correct the unit rate error: “Ratio $10:2$ gives unit rate $\frac{2}{10}$ per $1$.”
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Correct unit rate is $\frac{10}{2}=5$ per $1$. Unit rate divides first by second, not second by first.
Correct unit rate is $\frac{10}{2}=5$ per $1$. Unit rate divides first by second, not second by first.
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Which value must be nonzero in a ratio $a:b$ to form the unit rate $\frac{a}{b}$?
Which value must be nonzero in a ratio $a:b$ to form the unit rate $\frac{a}{b}$?
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$b \ne 0$. Division by zero is undefined, so the denominator cannot be zero.
$b \ne 0$. Division by zero is undefined, so the denominator cannot be zero.
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Identify the unit rate (cost per ounce) for $\$6$ for $8$ ounces.
Identify the unit rate (cost per ounce) for $\$6$ for $8$ ounces.
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$\$\frac{3}{4}$ per ounce. Divide total cost by ounces: $\frac{6}{8} = \frac{3}{4}$.
$\$\frac{3}{4}$ per ounce. Divide total cost by ounces: $\frac{6}{8} = \frac{3}{4}$.
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What unit rate corresponds to the ratio $5:2$ (first quantity per $1$ of second)?
What unit rate corresponds to the ratio $5:2$ (first quantity per $1$ of second)?
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$\frac{5}{2}$ per $1$. Divide the first quantity by the second: $\frac{5}{2}$.
$\frac{5}{2}$ per $1$. Divide the first quantity by the second: $\frac{5}{2}$.
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Identify the unit rate (miles per hour) for $150$ miles in $3$ hours.
Identify the unit rate (miles per hour) for $150$ miles in $3$ hours.
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$50$ miles per hour. Divide total distance by time: $\frac{150}{3} = 50$.
$50$ miles per hour. Divide total distance by time: $\frac{150}{3} = 50$.
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Identify the unit rate (words per minute) for $240$ words in $6$ minutes.
Identify the unit rate (words per minute) for $240$ words in $6$ minutes.
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$40$ words per minute. Divide total words by time: $\frac{240}{6} = 40$.
$40$ words per minute. Divide total words by time: $\frac{240}{6} = 40$.
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What is the unit rate (items per dollar) for $12$ items costing $\$3$ total?
What is the unit rate (items per dollar) for $12$ items costing $\$3$ total?
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$4$ items per dollar. Divide number of items by cost: $\frac{12}{3} = 4$.
$4$ items per dollar. Divide number of items by cost: $\frac{12}{3} = 4$.
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Choose the correct unit rate for $8$ gallons in $4$ hours: $2$, $12$, or $\frac{1}{2}$ gal/hr?
Choose the correct unit rate for $8$ gallons in $4$ hours: $2$, $12$, or $\frac{1}{2}$ gal/hr?
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$2$ gallons per hour. Divide total gallons by hours: $\frac{8}{4} = 2$.
$2$ gallons per hour. Divide total gallons by hours: $\frac{8}{4} = 2$.
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What is the unit rate (minutes per mile) for $30$ minutes to run $5$ miles?
What is the unit rate (minutes per mile) for $30$ minutes to run $5$ miles?
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$6$ minutes per mile. Divide total time by distance: $\frac{30}{5} = 6$.
$6$ minutes per mile. Divide total time by distance: $\frac{30}{5} = 6$.
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What is the unit rate (miles per minute) for $30$ minutes to run $5$ miles?
What is the unit rate (miles per minute) for $30$ minutes to run $5$ miles?
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$\frac{1}{6}$ mile per minute. Divide distance by time: $\frac{5}{30} = \frac{1}{6}$.
$\frac{1}{6}$ mile per minute. Divide distance by time: $\frac{5}{30} = \frac{1}{6}$.
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What is the unit rate (cups of flour per cup of sugar) for flour:sugar $= 3:4$?
What is the unit rate (cups of flour per cup of sugar) for flour:sugar $= 3:4$?
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$\frac{3}{4}$ cup flour per $1$ cup sugar. Divide cups of flour by cups of sugar: $\frac{3}{4}$.
$\frac{3}{4}$ cup flour per $1$ cup sugar. Divide cups of flour by cups of sugar: $\frac{3}{4}$.
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What is the unit rate (dollars per item) for $12$ items costing $ \$3 $ total?
What is the unit rate (dollars per item) for $12$ items costing $ \$3 $ total?
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$ \$ \frac{1}{4} $ per item. Divide total cost by number of items: $\frac{3}{12} = \frac{1}{4}$.
$ \$ \frac{1}{4} $ per item. Divide total cost by number of items: $\frac{3}{12} = \frac{1}{4}$.
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Find the unit rate in $\text{hours per mile}$ for $120$ miles in $3$ hours.
Find the unit rate in $\text{hours per mile}$ for $120$ miles in $3$ hours.
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$\frac{1}{40}$ hour per mile. Divide time by distance: $\frac{3}{120} = \frac{1}{40}$ hour to travel one mile.
$\frac{1}{40}$ hour per mile. Divide time by distance: $\frac{3}{120} = \frac{1}{40}$ hour to travel one mile.
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Find and correct the unit rate statement: “Ratio $6:2$ means $\frac{2}{6}$ per $1$.”
Find and correct the unit rate statement: “Ratio $6:2$ means $\frac{2}{6}$ per $1$.”
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Correct unit rate is $\frac{6}{2}=3$ per $1$. The error shows reciprocal; correct is $\frac{6}{2} = 3$ per $1$.
Correct unit rate is $\frac{6}{2}=3$ per $1$. The error shows reciprocal; correct is $\frac{6}{2} = 3$ per $1$.
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Identify the unit rate for the ratio $\frac{3}{4}:\frac{1}{2}$ (first per second).
Identify the unit rate for the ratio $\frac{3}{4}:\frac{1}{2}$ (first per second).
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$\frac{3}{2}$ per $1$. Divide fractions: $\frac{3/4}{1/2} = \frac{3}{4} \times \frac{2}{1} = \frac{3}{2}$.
$\frac{3}{2}$ per $1$. Divide fractions: $\frac{3/4}{1/2} = \frac{3}{4} \times \frac{2}{1} = \frac{3}{2}$.
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Identify the unit rate for the ratio $2.5:0.5$ (first per second).
Identify the unit rate for the ratio $2.5:0.5$ (first per second).
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$5$ per $1$. Divide first by second: $\frac{2.5}{0.5} = 5$ units of first per one second.
$5$ per $1$. Divide first by second: $\frac{2.5}{0.5} = 5$ units of first per one second.
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What is the definition of a unit rate for a ratio $a:b$ with $b\ne 0$?
What is the definition of a unit rate for a ratio $a:b$ with $b\ne 0$?
Tap to reveal answer
The unit rate is $\frac{a}{b}$, meaning “$a$ per $1$ of $b$.”. Expresses how many units of $a$ for each single unit of $b$.
The unit rate is $\frac{a}{b}$, meaning “$a$ per $1$ of $b$.”. Expresses how many units of $a$ for each single unit of $b$.
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