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Example Question #1 : How To Add Fractions
What is the result of adding of
to
?
Let us first get our value for the percentage of the first fraction. 20% of 2/7 is found by multiplying 2/7 by 2/10 (or, simplified, 1/5): (2/7) * (1/5) = (2/35)
Our addition is therefore (2/35) + (1/4). There are no common factors, so the least common denominator will be 35 * 4 or 140. Multiply the numerator and denominator of 2/35 by 4/4 and the numerator of 1/4 by 35/35.
This yields:
(8/140) + (35/140) = 43/140, which cannot be reduced.
Example Question #32 : Fractions
Reduce to simplest form:
Simplify expressions inside parentheses first: and
Now we have:
Add them by finding the common denominator (LCM of 4, 2, and 3 = 12) and then multiplying the top and bottom of each fraction by whichever factors are missing from this common denominator:
Example Question #1 : How To Add Fractions
Quantity A:
Quantity B:
Which of the following is true?
The relationship between the two quantities cannot be determined.
The two quantities are equal.
Quantity B is larger.
Quantity A is larger.
The two quantities are equal.
Start by looking at Quantity A. The common denominator for this expression is . To calculate this, you perform the following multiplications:
This is the same as:
, or
This is the same as Quantity B. They are equal!
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