Name the numerator and denominator for each.

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

2. \(\displaystyle\frac{a}{5}\)

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

Write \(\displaystyle\frac{3}{4}\) as an equivalent fraction with denominator \(20\).

Write \(\displaystyle\frac{3}{4}\) as an equivalent fraction with denominator \(12x\).

Write \(\displaystyle\frac{10}{12}\) as an equivalent fraction with denominator \(6\).

Simplify each expression.

1. \(\displaystyle\frac{24}{1}\)

2. \(\displaystyle\frac{24}{24}\)

3. \(\displaystyle\frac{48}{24}\)

4. \(\displaystyle\frac{72}{24}\)

Write each fraction as an equivalent fraction with denominator \(24\). Then write them in order from smallest to largest. \(\qquad \displaystyle\frac{5}{8} \qquad \displaystyle\frac{5}{6} \qquad \displaystyle\frac{3}{4} \qquad \displaystyle\frac{2}{3}\)

Change \(2\displaystyle\frac{3}{4}\) to an improper fraction.

Change \(5\dfrac{3}{4}\) to an improper fraction, use the shortcut.

Change \(\displaystyle\frac{11}{4}\) to a mixed number.

Write as a mixed number.

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

2. \(\displaystyle\frac{208}{24}\)

Identify each as either a prime number or a composite number. For those that are composite, give two divisors other than itself or \(1\).

1. \(43\)

2. \(12\)

Factor \(60\) into a product of primes.

Reduce the fraction \(\displaystyle\frac{12}{15}\) to lowest terms.

Laura is having a party. She puts 4 six-packs of soda in a cooler. At the end of the party she finds that only \(4\) sodas have been consumed. What fraction of the sodas are left? Write your answer in lowest terms.

Reduce \(\displaystyle\frac{6}{42}\) to lowest terms.

Reduce \(\displaystyle\frac{4}{40}\) to lowest terms.

Reduce \(\displaystyle\frac{105}{30}\) to lowest terms.

Multiply: \(\displaystyle\frac{3}{5}\cdot \displaystyle\frac{2}{7}\)

Multiply: \(\displaystyle\frac{3}{8}\cdot 5\)

Multiply: \(\displaystyle\frac{1}{2}\left(\displaystyle\frac{3}{4}\cdot \displaystyle\frac{1}{5}\right)\)

Multiply: \(\displaystyle\frac{15}{8}\cdot \displaystyle\frac{4}{9}\)

Multiply: \(\displaystyle\frac{9}{2}\cdot \displaystyle\frac{8}{18}\)

Multiply: \(\displaystyle\frac{2}{3}\cdot \displaystyle\frac{6}{5}\cdot \displaystyle\frac{5}{8}\)

Find \(\displaystyle\frac{1}{2}\) of \(\displaystyle\frac{2}{3}\)

What is \(\displaystyle\frac{3}{4}\) of \(12\)?

Multiply: \(2\displaystyle\frac{3}{4}\cdot 3\displaystyle\frac{1}{5}\)

Divide \(\displaystyle\frac{1}{2}\div \displaystyle\frac{1}{4}\)

Divide \(\displaystyle\frac{3}{8}\div \displaystyle\frac{9}{4}\)

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

Divide \(2\div \displaystyle\frac{1}{3}\)

Divide \(\displaystyle\frac{4}{27}\div \displaystyle\frac{16}{9}\)

Divide

1. \(\displaystyle\frac{16}{35}\div 8\)

2. \(27\div\displaystyle\frac{3}{2}\)

Divide: \(1\displaystyle\frac{3}{5}\div 2\displaystyle\frac{4}{5}\)

Divide: \(5\displaystyle\frac{9}{10}\div 2\)