Chapter 4

Perform each multiplication and division. $$ 1 \div 6 \frac{1}{4} \cdot \frac{25}{4} $$

For the following problems, find the products. Be sure to reduce. $$\left(\frac{1}{2}\right)^{2} \cdot \frac{8}{9}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{36}{100}$$

Find \(\frac{8}{9}\) of \(\frac{27}{2}\).

For the following problems, find the products. Be sure to reduce. $$\left(\frac{1}{2}\right)^{2} \cdot\left(\frac{2}{5}\right)^{2}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{45}{32}$$

What part of \(\frac{3}{8}\) is \(\frac{21}{16} ?\)

For the following problems, find the products. Be sure to reduce. $$\left(\frac{3}{7}\right)^{2} \cdot\left(\frac{1}{9}\right)^{2}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{30}{75}$$

What part of \(3 \frac{1}{5}\) is \(1 \frac{7}{25}\) ?

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\sqrt{\frac{4}{9}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{121}{132}$$

Find \(6 \frac{2}{3}\) of \(\frac{9}{15}\).

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\sqrt{\frac{16}{25}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{72}{64}$$

\(\frac{7}{20}\) of what number is \(\frac{14}{35} ?\)

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\sqrt{\frac{81}{121}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{30}{105}$$

What part of \(4 \frac{1}{16}\) is \(3 \frac{3}{4} ?\)

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\sqrt{\frac{36}{49}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{46}{60}$$

Find \(8 \frac{3}{10}\) of \(16 \frac{2}{3}\).

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\sqrt{\frac{144}{25}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{75}{45}$$

\(\frac{3}{20}\) of what number is \(\frac{18}{30} ?\)

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\frac{2}{3} \cdot \sqrt{\frac{9}{16}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{40}{18}$$

Find \(\frac{1}{3}\) of 0.

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\frac{3}{5} \cdot \sqrt{\frac{25}{81}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{108}{76}$$

Find \(\frac{11}{12}\) of 1.

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\left(\frac{8}{5}\right)^{2} \cdot \sqrt{\frac{25}{64}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{7}{21}$$

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\left(1 \frac{3}{4}\right)^{2} \cdot \sqrt{\frac{4}{49}}$$

For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers. $$\left(2 \frac{2}{3}\right)^{2} \cdot \sqrt{\frac{36}{49}} \cdot \sqrt{\frac{64}{81}}$$

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{51}{12}$$

(Section 1.2) How many thousands in \(342,810 ?\)

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{8}{100}$$

(Section 1.5) Find the sum of \(22,42,\) and 101 .

For the following problems, reduce, if possible, each of the fractions to lowest terms. $$\frac{51}{54}$$

(Section 2.5) Is 634,281 divisible by 3 ?

A ream of paper contains 500 sheets. What fraction of a ream of paper is 200 sheets? Be sure to reduce.

(Section 3.4) Is the whole number 51 prime or composite?

There are 24 hours in a day. What fraction of a day is 14 hours?

(Section 4.4) Reduce \(\frac{36}{150}\) to lowest terms.

A full box contains 80 calculators. How many calculators are in \(\frac{1}{4}\) of a box?

There are 48 plants per flat. How many plants are there in \(\frac{1}{3}\) of a flat?

A person making \(\$ 18,000\) per year must pay \(\$ 3,960\) in income tax. What fraction of this person's yearly salary goes to the IRS?

For the following problems, find the mistake. $$ \frac{3}{24}=\frac{\overline{)3}}{\overline{)33} \cdot 8}=\frac{0}{8}=0 $$

For the following problems, find the mistake. $$ \frac{8}{10}=\frac{\overline{)2}+6}{\overline{) 2}+8}=\frac{6}{8}=\frac{3}{4} $$