Chapter 2

Multiply and simplify. $$ \frac{4}{6} \cdot \frac{1}{6} $$

For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 3286 is divisible by 3 .

Find the reciprocal of each number. \(\frac{17}{4}\)

List all the factors of each number. $$ 4 $$

Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{17}{18}=\frac{?}{54} $$

Multiply. $$ \frac{8}{7} \cdot \frac{5}{3} $$

Multiply and simplify. $$ \frac{12}{5} \cdot \frac{9}{8} $$

For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 21,687 is divisible by 2 .

Divide and simplify. \(\frac{3}{5} \div \frac{3}{4}\)

List all the factors of each number. $$ 9 $$

Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{11}{16}=\frac{?}{256} $$

Multiply. $$ \frac{11}{2} \cdot \frac{9}{8} $$

Multiply and simplify. $$ \frac{16}{15} \cdot \frac{5}{4} $$

For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 64,091 is divisible by \(10 .\)

Divide and simplify. \(\frac{2}{3} \div \frac{3}{4}\)

List all the factors of each number. $$ 1 $$

Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{7}{22}=\frac{?}{132} $$

Multiply. $$ \frac{2}{5} \cdot 3 $$

Multiply and simplify. $$ \frac{10}{9} \cdot \frac{7}{5} $$

For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 32,109 is divisible by 6 .

Divide and simplify. \(\frac{3}{5} \div \frac{9}{4}\)

List all the factors of each number. $$ 13 $$

Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{10}{21}=\frac{?}{126} $$

Multiply. $$ \frac{3}{5} \cdot 4 $$

Multiply and simplify. $$ \frac{25}{12} \cdot \frac{4}{3} $$

For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 9840 is divisible by \(2 .\)

Divide and simplify. \(\frac{6}{7} \div \frac{3}{5}\)

List all the factors of each number. $$ 98 $$

Multiply. $$ \frac{1}{2} \cdot \frac{1}{3} $$

Multiply and simplify. $$ 9 \cdot \frac{1}{9} $$

Divide and simplify. \(\frac{4}{3} \div \frac{1}{3}\)

List all the factors of each number. $$ 100 $$

Simplify. $$ \frac{4}{8} $$

Multiply. $$ \frac{1}{6} \cdot \frac{1}{4} $$

Multiply and simplify. $$ 4 \cdot \frac{1}{4} $$

For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 546,106 is divisible by 8 .

Divide and simplify. \(\frac{10}{9} \div \frac{1}{3}\)

List all the factors of each number. $$ 255 $$

Simplify. $$ \frac{6}{8} $$

Multiply. $$ 17 \times \frac{5}{6} $$

Multiply and simplify. $$ \frac{1}{3} \cdot 3 $$

For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 796,840 is divisible by 8 .

Divide and simplify. \(\frac{1}{3} \div \frac{1}{6}\)

List all the factors of each number. $$ 120 $$

Simplify. $$ \frac{8}{12} $$

Multiply. $$ \frac{3}{7} \cdot 40 $$

Multiply and simplify. $$ \frac{1}{6} \cdot 6 $$

For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 298,736 is divisible by \(4 .\)

Divide and simplify. \(\frac{1}{4} \div \frac{1}{5}\)

Multiply by \(1,2,3,\) and so on, to find ten multiples of each number. $$ 4 $$