Chapter 3

Use the rule for order of operations to simplify each of the following. [Examples 1–3] $$3+\left(1 \frac{1}{2}\right)\left(2 \frac{2}{3}\right)$$

Add and subtract the following mixed numbers as indicated. \(2 \frac{1}{5}+3 \frac{3}{5}\)

Write your answers as proper fractions or mixed numbers, not as improper fractions. Find the following products. (Multiply.) $$3 \frac{2}{5} \cdot 1 \frac{1}{2}$$

Change each mixed number to an improper fraction. $$4 \frac{2}{3}$$

Find each of the following products. (Multiply.) $$\frac{2}{3} \cdot \frac{4}{5}$$

Find the following sums and differences, and reduce to lowest terms. (Add or subtract as indicated.) $$\frac{3}{6}+\frac{1}{6}$$

Find the quotient in each case by replacing the divisor by its reciprocal and multiplying. $$\frac{3}{4} \div \frac{1}{5}$$

Identify each of the numbers below as either a prime number or a composite number. For those that are composite, give at least one divisor (factor) other than the number itself or the number 1. $$11$$

Name the numerator of each fraction. $$\frac{1}{3}$$

Use the rule for order of operations to simplify each of the following. [Examples 1–3] $$7-\left(1 \frac{3}{5}\right)\left(2 \frac{1}{2}\right)$$

Add and subtract the following mixed numbers as indicated. \(8 \frac{2}{9}+1 \frac{5}{9}\)

Write your answers as proper fractions or mixed numbers, not as improper fractions. Find the following products. (Multiply.) $$2 \frac{1}{3} \cdot 6 \frac{3}{4}$$

Change each mixed number to an improper fraction. $$3 \frac{5}{8}$$

Find each of the following products. (Multiply.) $$\frac{5}{6} \cdot \frac{7}{4}$$

Find the quotient in each case by replacing the divisor by its reciprocal and multiplying. $$\frac{1}{3} \div \frac{1}{2}$$

Find the following sums and differences, and reduce to lowest terms. (Add or subtract as indicated.) $$\frac{2}{5}+\frac{3}{5}$$

Identify each of the numbers below as either a prime number or a composite number. For those that are composite, give at least one divisor (factor) other than the number itself or the number 1. $$23$$

Name the numerator of each fraction. $$\frac{1}{4}$$

Use the rule for order of operations to simplify each of the following. [Examples 1–3] $$8-\left(\frac{6}{11}\right)\left(1 \frac{5}{6}\right)$$

Add and subtract the following mixed numbers as indicated. \(4 \frac{3}{10}+8 \frac{1}{10}\)

Write your answers as proper fractions or mixed numbers, not as improper fractions. Find the following products. (Multiply.) $$5 \frac{1}{8} \cdot 2 \frac{2}{3}$$

Change each mixed number to an improper fraction. $$5 \frac{1}{4}$$

Find each of the following products. (Multiply.) $$\frac{1}{2} \cdot \frac{7}{4}$$

Find the quotient in each case by replacing the divisor by its reciprocal and multiplying. $$-\frac{2}{3} \div \frac{1}{2}$$

Find the following sums and differences, and reduce to lowest terms. (Add or subtract as indicated.) $$\frac{3}{8}-\frac{5}{8}$$

Identify each of the numbers below as either a prime number or a composite number. For those that are composite, give at least one divisor (factor) other than the number itself or the number 1. $$105$$

Name the numerator of each fraction. $$\frac{2}{3}$$

Use the rule for order of operations to simplify each of the following. [Examples 1–3] $$10+\left(2 \frac{4}{5}\right)\left(\frac{5}{7}\right)$$

Add and subtract the following mixed numbers as indicated. \(5 \frac{2}{7}+3 \frac{3}{7}\)

Change each mixed number to an improper fraction. $$7 \frac{1}{2}$$

Write your answers as proper fractions or mixed numbers, not as improper fractions. Find the following products. (Multiply.) $$1 \frac{5}{6} \cdot 1 \frac{4}{5}$$

Find each of the following products. (Multiply.) $$\frac{3}{5} \cdot \frac{4}{7}$$

Find the quotient in each case by replacing the divisor by its reciprocal and multiplying. $$-\frac{5}{8} \div \frac{1}{4}$$

Find the following sums and differences, and reduce to lowest terms. (Add or subtract as indicated.) $$\frac{1}{7}-\frac{6}{7}$$

Identify each of the numbers below as either a prime number or a composite number. For those that are composite, give at least one divisor (factor) other than the number itself or the number 1. $$41$$

Name the numerator of each fraction. $$\frac{2}{4}$$

Use the rule for order of operations to simplify each of the following. [Examples 1–3] $$\frac{2}{3}\left(1 \frac{1}{2}\right)+\frac{3}{4}\left(1 \frac{1}{3}\right)$$

Add and subtract the following mixed numbers as indicated. \(6 \frac{8}{9}-3 \frac{4}{9}\)

Write your answers as proper fractions or mixed numbers, not as improper fractions. Find the following products. (Multiply.) $$2 \frac{1}{10} \cdot 3 \frac{3}{10}$$

Change each mixed number to an improper fraction. $$1 \frac{5}{8}$$

Find each of the following products. (Multiply.) $$-\frac{5}{3} \cdot \frac{3}{5}$$

Find the quotient in each case by replacing the divisor by its reciprocal and multiplying. $$6 \div\left(-\frac{2}{3}\right)$$

Find the following sums and differences, and reduce to lowest terms. (Add or subtract as indicated.) $$-\frac{1}{4}+\frac{3}{4}$$

Identify each of the numbers below as either a prime number or a composite number. For those that are composite, give at least one divisor (factor) other than the number itself or the number 1. $$81$$

Name the numerator of each fraction. $$\frac{x}{8}$$

Use the rule for order of operations to simplify each of the following. [Examples 1–3] $$\frac{2}{5}\left(2 \frac{1}{2}\right)+\frac{5}{8}\left(3 \frac{1}{5}\right)$$

Add and subtract the following mixed numbers as indicated. \(12 \frac{5}{12}-7 \frac{1}{12}\)

Change each mixed number to an improper fraction. $$1 \frac{6}{7}$$

Write your answers as proper fractions or mixed numbers, not as improper fractions. Find the following products. (Multiply.) $$4 \frac{7}{10} \cdot 3 \frac{1}{10}$$

Find each of the following products. (Multiply.) $$-\frac{4}{7} \cdot \frac{7}{4}$$