Fractions

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ISEE Lower Level Quantitative Reasoning › Fractions

Questions 1 - 10

$29\frac{5}{13}-8\frac{2}{13}$

$21\frac{3}{13}$

$22\frac{3}{13}$

$23\frac{3}{13}$

$21\frac{7}{13}$

$22\frac{7}{13}$

Explanation

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

$\frac{5}{13}-\frac{2}{13}=\frac{3}{13}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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

$20\frac{2}{3}$

$19\frac{2}{3}$

$18\frac{2}{3}$

$21\frac{2}{3}$

$22\frac{2}{3}$

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.

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ __________ $\frac{6}{12}$

Explanation

To compare fractions, we need to first make common denominators.

$\frac{1}{2}\times\frac{6}{6}=\frac{6}{12}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{6}{12}=\frac{6}{12}$

Select the symbol to correctly fill in the blank below.

$\frac{3}{4}$ __________ $\frac{7}{8}$

Explanation

To compare fractions, we need to first make common denominators.

$\frac{3}{4}\times\frac{2}{2}=\frac{6}{8}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{6}{8}<\frac{7}{8}$

Which fraction is the smallest?

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

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

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

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

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.

Which fraction is the smallest?

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

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

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

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

Explanation

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ __________ $\frac{6}{12}$

Explanation

To compare fractions, we need to first make common denominators.

$\frac{1}{2}\times\frac{6}{6}=\frac{6}{12}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{6}{12}=\frac{6}{12}$

Select the symbol to correctly fill in the blank below.

$\frac{5}{7}$ __________ $\frac{1}{3}$

Explanation

To compare fractions, we need to first make common denominators.

$\frac{5}{7}\times\frac{3}{3}=\frac{15}{21}$

$\frac{1}{3}\times\frac{7}{7}=\frac{7}{21}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{15}{21}>\frac{7}{21}$

Select the symbol to correctly fill in the blank below.

$\frac{3}{4}$ __________ $\frac{7}{8}$

Explanation

To compare fractions, we need to first make common denominators.

$\frac{3}{4}\times\frac{2}{2}=\frac{6}{8}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{6}{8}<\frac{7}{8}$

$36\frac{3}{4}-16\frac{2}{4}$

$20\frac{1}{4}$

$19\frac{1}{4}$

$19\frac{2}{4}$

$20\frac{2}{4}$

$52\frac{6}{4}$

Explanation

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators. n

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