How to add fractions - GRE Quantitative Reasoning

Simplify expressions inside parentheses first: left ($\frac{4}{3}$ times $\frac{3}{8}$ right ) = $\frac{12}{24}$ = $\frac{1}{2}$ and left ($\frac{1}{4}$ div $\frac{3}{8}$ right ) = left ($\frac{1}{4}$ times $\frac{8}{3}$ right ) = $\frac{8}{12}$ = $\frac{2}{3}$

Now we have: $\frac{1}{4}$ + $\frac{1}{2}$ - $\frac{2}{3}$

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:

$\frac{1times 3}{4times 3}$ + $\frac{1times 6}{2times 6}$ - $\frac{2times 4}{3times 4}$ =\frac{3}{12}$ + $\frac{6}{12}$ - $\frac{8}{12}$ = $\frac{1}{12}$

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!

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.

Simplify expressions inside parentheses first: left ($\frac{4}{3}$ times $\frac{3}{8}$ right ) = $\frac{12}{24}$ = $\frac{1}{2}$ and left ($\frac{1}{4}$ div $\frac{3}{8}$ right ) = left ($\frac{1}{4}$ times $\frac{8}{3}$ right ) = $\frac{8}{12}$ = $\frac{2}{3}$

Now we have: $\frac{1}{4}$ + $\frac{1}{2}$ - $\frac{2}{3}$

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:

$\frac{1times 3}{4times 3}$ + $\frac{1times 6}{2times 6}$ - $\frac{2times 4}{3times 4}$ =\frac{3}{12}$ + $\frac{6}{12}$ - $\frac{8}{12}$ = $\frac{1}{12}$

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!

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.

Simplify expressions inside parentheses first: left ($\frac{4}{3}$ times $\frac{3}{8}$ right ) = $\frac{12}{24}$ = $\frac{1}{2}$ and left ($\frac{1}{4}$ div $\frac{3}{8}$ right ) = left ($\frac{1}{4}$ times $\frac{8}{3}$ right ) = $\frac{8}{12}$ = $\frac{2}{3}$

Now we have: $\frac{1}{4}$ + $\frac{1}{2}$ - $\frac{2}{3}$

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:

$\frac{1times 3}{4times 3}$ + $\frac{1times 6}{2times 6}$ - $\frac{2times 4}{3times 4}$ =\frac{3}{12}$ + $\frac{6}{12}$ - $\frac{8}{12}$ = $\frac{1}{12}$

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!

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.

Simplify expressions inside parentheses first: left ($\frac{4}{3}$ times $\frac{3}{8}$ right ) = $\frac{12}{24}$ = $\frac{1}{2}$ and left ($\frac{1}{4}$ div $\frac{3}{8}$ right ) = left ($\frac{1}{4}$ times $\frac{8}{3}$ right ) = $\frac{8}{12}$ = $\frac{2}{3}$

Now we have: $\frac{1}{4}$ + $\frac{1}{2}$ - $\frac{2}{3}$

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:

$\frac{1times 3}{4times 3}$ + $\frac{1times 6}{2times 6}$ - $\frac{2times 4}{3times 4}$ =\frac{3}{12}$ + $\frac{6}{12}$ - $\frac{8}{12}$ = $\frac{1}{12}$

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!

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.

Simplify expressions inside parentheses first: left ($\frac{4}{3}$ times $\frac{3}{8}$ right ) = $\frac{12}{24}$ = $\frac{1}{2}$ and left ($\frac{1}{4}$ div $\frac{3}{8}$ right ) = left ($\frac{1}{4}$ times $\frac{8}{3}$ right ) = $\frac{8}{12}$ = $\frac{2}{3}$

Now we have: $\frac{1}{4}$ + $\frac{1}{2}$ - $\frac{2}{3}$

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:

$\frac{1times 3}{4times 3}$ + $\frac{1times 6}{2times 6}$ - $\frac{2times 4}{3times 4}$ =\frac{3}{12}$ + $\frac{6}{12}$ - $\frac{8}{12}$ = $\frac{1}{12}$

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!

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.

Simplify expressions inside parentheses first: left ($\frac{4}{3}$ times $\frac{3}{8}$ right ) = $\frac{12}{24}$ = $\frac{1}{2}$ and left ($\frac{1}{4}$ div $\frac{3}{8}$ right ) = left ($\frac{1}{4}$ times $\frac{8}{3}$ right ) = $\frac{8}{12}$ = $\frac{2}{3}$

Now we have: $\frac{1}{4}$ + $\frac{1}{2}$ - $\frac{2}{3}$

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:

$\frac{1times 3}{4times 3}$ + $\frac{1times 6}{2times 6}$ - $\frac{2times 4}{3times 4}$ =\frac{3}{12}$ + $\frac{6}{12}$ - $\frac{8}{12}$ = $\frac{1}{12}$

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!

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.

Simplify expressions inside parentheses first: left ($\frac{4}{3}$ times $\frac{3}{8}$ right ) = $\frac{12}{24}$ = $\frac{1}{2}$ and left ($\frac{1}{4}$ div $\frac{3}{8}$ right ) = left ($\frac{1}{4}$ times $\frac{8}{3}$ right ) = $\frac{8}{12}$ = $\frac{2}{3}$

Now we have: $\frac{1}{4}$ + $\frac{1}{2}$ - $\frac{2}{3}$

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:

$\frac{1times 3}{4times 3}$ + $\frac{1times 6}{2times 6}$ - $\frac{2times 4}{3times 4}$ =\frac{3}{12}$ + $\frac{6}{12}$ - $\frac{8}{12}$ = $\frac{1}{12}$