SSAT Middle Level Quantitative - How to add fractions

Which of the following statements demonstrates the associative property of addition?

None of the examples in the other responses demonstrates the associative property of addition.

Explanation

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only

demonstrates this property, so it is the correct choice.

Add:

$\frac{6}{61}+\frac{11}{61}=$

$\frac{17}{61}$

$\frac{5}{61}$

$\frac{66}{61}$

$\frac{61}{17}$

Explanation

Add the numerators and leave the denominators the same:

$\frac{6}{61}+\frac{11}{61}=\frac{17}{61}$

Answer:

$\frac{17}{61}$

Select the fraction model that shows the sum of $\frac{1}{8}+\frac{1}{8}$

2 8

3 8

4 8

5 8

2 6

Explanation

$\frac{1}{8}+\frac{1}{8}=\frac{2}{8}$

The fraction model is broken up into eight pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

$\frac{3}{8}$ is equal to which of the options below?

$\frac{2}{8}+\frac{1}{8}$

$\frac{4}{8}+\frac{1}{8}$

$\frac{1}{8}+\frac{1}{8}$

$\frac{3}{8}+\frac{2}{8}$

$\frac{3}{8}+\frac{1}{8}$

Explanation

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{2}{8}+\frac{1}{8}=\frac{3}{8}$

On Thursday it snowed $\frac{2}{12}$ of an inch in the afternoon and $\frac{1}{12}$ of an inch in the evening. What was the total amount of snowfall on Thursday?

$\frac{3}{12}$

$\frac{4}{12}$

$\frac{5}{12}$

$\frac{6}{12}$

$\frac{7}{12}$

Explanation

To solve this problem, we are putting the amount of snowfall from the afternoon and the evening together, so we add the fractions.

$\frac{2}{12}+\frac{1}{12}=\frac{3}{12}$

3 12

$13\frac{1}{3}+7\frac{1}{3}$

$20\frac{2}{3}$

$19\frac{2}{3}$

$18\frac{2}{3}$

$21\frac{2}{3}$

$22\frac{2}{3}$

Explanation

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

$\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

$6\frac{1}{4}+13\frac{1}{4}$

$19\frac{2}{4}$

$19\frac{1}{4}$

$18\frac{2}{4}$

$18\frac{3}{4}$

$18\frac{1}{4}$

Explanation

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

$\frac{1}{4}+\frac{1}{4}=\frac{2}{4}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Add:

$\frac{3}{27}+\frac{10}{27}=$

$\frac{13}{27}$

$\frac{3}{27}$

$\frac{10}{27}$

$\frac{7}{27}$

Explanation

To solve, add the numerators and leave the denominators the same:

$\frac{3}{27}+\frac{10}{27}=\frac{13}{27}$

Answer:

$\frac{13}{27}$

$7\frac{7}{9}$ is equal to which of the options below?

$3\frac{2}{9}+4\frac{5}{9}$

$3\frac{2}{9}+4\frac{5}{9}+\frac{1}{9}$

$4\frac{2}{9}+4\frac{5}{9}$

$3\frac{2}{9}+4\frac{6}{9}$

$3\frac{1}{9}+4\frac{5}{9}$

Explanation

When we add mixed numbers, we add whole numbers to whole numbers, and fractions to fractions.

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$3\frac{2}{9}+4\frac{5}{9}=7\frac{7}{9}$

On Tuesday it snowed $\frac{6}{12}$ of an inch in the afternoon and $\frac{2}{12}$ of an inch in the evening. What was the total amount of snowfall on Tuesday?