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ISEE Lower Level Quantitative : Fractions

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #1 : Fractions

Which fraction is the smallest?

Possible Answers:

\dpi{100} \frac{2}{3}

\dpi{100} \frac{1}{8}

\dpi{100} \frac{1}{4}

\dpi{100} \frac{3}{4}

Correct answer:

\dpi{100} \frac{1}{8}

Explanation:

Fractions get smaller as the numerator (top number) gets smaller, and the denominator (bottom number) gets bigger.  \dpi{100} \frac{1}{8} has the smallest numerator AND the largest denominator of any of the fractions.

Example Question #2 : Fractions

Convert 0.5 into a fraction.  

Possible Answers:

\displaystyle \frac{5}{1}

\displaystyle \frac{10}{5}

\displaystyle \frac{4}{5}

\displaystyle \frac{1}{2}

\displaystyle \frac{2}{3}

Correct answer:

\displaystyle \frac{1}{2}

Explanation:

If a number is one position to the right of the decimal, the the decimal is equal to that number divided by ten. 0.5 is equal to \displaystyle \frac{5}{10}.

We reduce the fraction to its simplest form. We divide the numerator by 5 and the denominator by 5.

\displaystyle \frac{5\div5}{10\div5}

\displaystyle \frac{1}{2}

Example Question #592 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Convert \displaystyle \frac{7}{10} into a decimal.

Possible Answers:

\displaystyle 7.10

\displaystyle 0.7

\displaystyle 7

\displaystyle 0.07

\displaystyle 0.710

Correct answer:

\displaystyle 0.7

Explanation:

\displaystyle \frac{7}{10} is also called "seven-tenths". The tenths spot is to the right of the decimal point. \displaystyle 0.7 is equal to seven tenths.

Ones: \displaystyle 7=7

Tenths: \displaystyle \frac{7}{10}=0.7

Hundredths: \displaystyle \frac{7}{100}=0.07

Thousandths: \displaystyle \frac{7}{1000}=0.007

Example Question #3 : Fractions

Which is the smallest fraction?

Possible Answers:

\displaystyle \frac{1}{11}

\displaystyle \frac{3}{10}

\displaystyle \frac{1}{20}

\displaystyle \frac{2}{5}

Correct answer:

\displaystyle \frac{1}{20}

Explanation:

\displaystyle \frac{1}{20} is the smallest fraction because it has the biggest denominator (which means that all of the pieces it's divided up into are the smallest out of the choices). Also, only 1 of those pieces would be shaded, so it is the smallest out of the choices.

Example Question #4 : Fractions

Find the decimal equivalent of \displaystyle \frac{3}{20}.

Possible Answers:

\displaystyle 0.3

\displaystyle 0.9

\displaystyle 0.20

\displaystyle 0.15

Correct answer:

\displaystyle 0.15

Explanation:

To convert a fraction to a decimal, the denominator of the fraction must be 100. 

\displaystyle \frac{3}{20} becomes \displaystyle \frac{15}{100}. When the number is over one hundred, you can simply write it as a decimal, giving you 0.15.

Example Question #5 : Fractions

Write \displaystyle \frac{6}{100} as a decimal.

Possible Answers:

\displaystyle .006

\displaystyle .06

\displaystyle .600

\displaystyle .6

\displaystyle .66

Correct answer:

\displaystyle .06

Explanation:

The fraction is 6 hundredths, therefore the decimal must have the 6 in the hundredths place, or .06.

Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent to \displaystyle \frac{4}{7}, rounded to two decimal points?

Possible Answers:

\displaystyle .5

\displaystyle .57

\displaystyle 5.7

\displaystyle .6

Correct answer:

\displaystyle .57

Explanation:

To convert a fraction into a decimal, divide the numerator by the denominator.:  \displaystyle 4\div7=.571

This number has three digits of precision, but the question stem asks for two. \displaystyle 1 is less than \displaystyle 5, so \displaystyle .571 rounds down to \displaystyle .57.

Example Question #6 : Fractions

Which fraction is largest?

Possible Answers:

\displaystyle \frac{1}{10}

\displaystyle \frac{3}{8}

\displaystyle \frac{1}{4}

\displaystyle \frac{6}{25}

\displaystyle \frac{1}{2}

Correct answer:

\displaystyle \frac{1}{2}

Explanation:

\displaystyle \frac{1}{2} is equal to 50%, while all the other fractions are between 10% and 36%. A good rule of thumb is that the smaller the denominator, the larger the fraction's value.

Example Question #7 : Fractions

Which of these numbers is equal to \displaystyle \frac{35}{50}?

Possible Answers:

\displaystyle 3.5

\displaystyle .07

\displaystyle .70

\displaystyle .35

Correct answer:

\displaystyle .70

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator.

\displaystyle 35\div50=.70

Example Question #8 : Fractions

Which of these numbers is equal to \displaystyle \frac{75}{100}?

Possible Answers:

\displaystyle .075

\displaystyle 75

\displaystyle 7.5

\displaystyle .75

Correct answer:

\displaystyle .75

Explanation:

To convert a fraction into a decimal, divide the numerator by the denominator.

\displaystyle 75\div100=.75

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