ISEE Lower Level Quantitative : Operations with fractions and whole numbers

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

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Example Questions

Example Question #1864 : Numbers And Operations

\(\displaystyle \small \frac{6}{7}\times\frac{1}{2}\)

Possible Answers:

\(\displaystyle \small \frac{2}{7}\)

\(\displaystyle \small \frac{2}{3}\)

\(\displaystyle \small \frac{1}{5}\)

\(\displaystyle \small \frac{1}{2}\)

\(\displaystyle \small \frac{3}{7}\)

Correct answer:

\(\displaystyle \small \frac{3}{7}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \small \small \frac{6}{7}\times\frac{1}{2}=\frac{6}{14}\)

\(\displaystyle \small \frac{6}{14}\) can be reduced by dividing both sides by \(\displaystyle \small 2\)

\(\displaystyle \small \small \frac{6}{14}\div\frac{2}{2}=\frac{3}{7}\)

Example Question #1865 : Numbers And Operations

\(\displaystyle \small \frac{1}{2}\times\frac{5}{11}\)

Possible Answers:

\(\displaystyle \small \frac{5}{7}\)

\(\displaystyle \small \frac{2}{3}\)

\(\displaystyle \small \frac{6}{11}\)

\(\displaystyle \small \frac{1}{4}\)

\(\displaystyle \small \frac{5}{22}\)

Correct answer:

\(\displaystyle \small \frac{5}{22}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \small \small \frac{1}{2}\times\frac{5}{11}=\frac{5}{22}\)

Example Question #1866 : Numbers And Operations

\(\displaystyle \small \frac{2}{3}\times\frac{5}{7}\)

Possible Answers:

\(\displaystyle \small \frac{3}{11}\)

\(\displaystyle \small \frac{7}{21}\)

\(\displaystyle \small \frac{2}{3}\)

\(\displaystyle \small \frac{10}{21}\)

\(\displaystyle \small \frac{1}{9}\)

Correct answer:

\(\displaystyle \small \frac{10}{21}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \small \small \frac{2}{3}\times\frac{5}{7}=\frac{10}{21}\)

Example Question #541 : Fractions

\(\displaystyle \small \frac{3}{4}\times\frac{3}{4}\)

Possible Answers:

\(\displaystyle \small \frac{3}{4}\)

\(\displaystyle \small \frac{2}{3}\)

\(\displaystyle \small \frac{3}{5}\)

\(\displaystyle \small \frac{1}{2}\)

\(\displaystyle \small \frac{9}{16}\)

Correct answer:

\(\displaystyle \small \frac{9}{16}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \small \small \frac{3}{4}\times\frac{3}{4}=\frac{9}{16}\)

Example Question #3 : Operations With Fractions And Whole Numbers

\(\displaystyle \frac{1}{5}\times\frac{3}{9}\)

Possible Answers:

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{9}{45}\)

\(\displaystyle \frac{1}{15}\)

\(\displaystyle \frac{2}{3}\)

\(\displaystyle \frac{4}{45}\)

Correct answer:

\(\displaystyle \frac{1}{15}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \frac{1}{5}\times\frac{3}{9}=\frac{3}{45}\)

\(\displaystyle \frac{3}{45}\) can be reduced by dividing both sides by \(\displaystyle 3\) 

\(\displaystyle \frac{3}{45}\div\frac{3}{3}=\frac{1}{15}\)

Example Question #4 : Operations With Fractions And Whole Numbers

\(\displaystyle \frac{2}{7}\times\frac{1}{2}\)

Possible Answers:

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{2}{3}\)

\(\displaystyle \frac{1}{7}\)

\(\displaystyle \frac{3}{5}\)

Correct answer:

\(\displaystyle \frac{1}{7}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \frac{2}{7}\times\frac{1}{2}=\frac{2}{14}\)

\(\displaystyle \frac{2}{14}\) can be reduced by dividing both sides by \(\displaystyle 2\) 

\(\displaystyle \frac{2}{14}\div\frac{2}{2}=\frac{1}{7}\)

 

Example Question #5 : Operations With Fractions And Whole Numbers

\(\displaystyle \frac{9}{10}\times\frac{1}{3}\)

Possible Answers:

\(\displaystyle \frac{5}{30}\)

\(\displaystyle \frac{1}{2}\)

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{3}{10}\)

\(\displaystyle \frac{2}{7}\)

Correct answer:

\(\displaystyle \frac{3}{10}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \frac{9}{10}\times\frac{1}{3}=\frac{9}{30}\)

\(\displaystyle \frac{9}{30}\) can be reduced by dividing both sides by \(\displaystyle 3\)

\(\displaystyle \frac{9}{30}\div\frac{3}{3}=\frac{3}{10}\)

Example Question #1 : Operations With Fractions And Whole Numbers

\(\displaystyle \frac{1}{9}\times\frac{1}{4}\)

Possible Answers:

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{1}{2}\)

\(\displaystyle \frac{1}{36}\)

\(\displaystyle \frac{2}{3}\)

\(\displaystyle \frac{9}{36}\)

Correct answer:

\(\displaystyle \frac{1}{36}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \frac{1}{9}\times\frac{1}{4}=\frac{1}{36}\)

Example Question #7 : Operations With Fractions And Whole Numbers

\(\displaystyle \frac{7}{8}\times\frac{1}{3}\)

Possible Answers:

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{1}{7}\)

\(\displaystyle \frac{3}{4}\)

\(\displaystyle \frac{7}{24}\)

\(\displaystyle \frac{2}{7}\)

Correct answer:

\(\displaystyle \frac{7}{24}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \frac{7}{8}\times\frac{1}{3}=\frac{7}{24}\)

Example Question #8 : Operations With Fractions And Whole Numbers

\(\displaystyle \frac{1}{3}\times\frac{1}{4}\)

Possible Answers:

\(\displaystyle \frac{1}{4}\)

\(\displaystyle \frac{1}{2}\)

\(\displaystyle \frac{1}{12}\)

\(\displaystyle \frac{2}{12}\)

\(\displaystyle \frac{3}{4}\)

Correct answer:

\(\displaystyle \frac{1}{12}\)

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator. 

\(\displaystyle \frac{1}{3}\times\frac{1}{4}=\frac{1}{12}\)

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