Chapter 4

Fundamentals of Mathematics · 607 exercises

Problem 7

Convert each mixed number to its corresponding improper fraction. $$8 \frac{1}{4}$$

4 step solution

Problem 8

(Section 4.4) Determine if \(\frac{5}{12}\) and \(\frac{20}{48}\) are equivalent fractions.

4 step solution

Problem 8

Write each fraction using digits. Sixty-one forty firsts

3 step solution

Problem 8

Find \(\frac{2}{3}\) of \(\frac{3}{4}\).

5 step solution

Problem 8

Perform the following divisions. $$ \frac{1}{2} \div \frac{9}{8} $$

6 step solution

Problem 8

Perform the following multiplications. $$ \left(\frac{3}{4}\right)(10) $$

5 step solution

Problem 8

Reduce each fraction to lowest terms. $$\frac{6}{48}$$

3 step solution

Problem 8

Convert each mixed number to its corresponding improper fraction. $$5 \frac{3}{5}$$

4 step solution

Problem 8

Write the following fractions using whole numbers. sixteen thirty-fifths

4 step solution

Problem 9

For problems 9-11, reduce, if possible, each fraction to lowest terms. (Section 4.4) \(\frac{21}{35}\)

3 step solution

Problem 9

Write each fraction using digits. Two hundred six-thousandths

5 step solution

Problem 9

Find \(\frac{5}{8}\) of \(\frac{1}{10}\).

5 step solution

Problem 9

Perform the following divisions. $$ \frac{3}{8} \div \frac{9}{24} $$

6 step solution

Problem 9

Perform the following multiplications. $$ \frac{3}{4} \cdot \frac{8}{9} \cdot \frac{5}{12} $$

5 step solution

Problem 9

Reduce each fraction to lowest terms. $$\frac{21}{48}$$

3 step solution

Problem 9

Convert each mixed number to its corresponding improper fraction. $$ 1 \frac{4}{15} $$

3 step solution

Problem 9

Write the following fractions using whole numbers. eight hundred seven-thousandths

4 step solution

Problem 10

Reduce, if possible, each fraction to lowest terms. \((\) Section 4.4\() \frac{15}{51}\)

3 step solution

Problem 10

Write each fraction using digits. zero tenths

3 step solution

Problem 10

Find \(\frac{12}{13}\) of \(\frac{13}{36}\).

6 step solution

Problem 10

Perform the following divisions. $$ \frac{7}{15} \div \frac{14}{15} $$

3 step solution

Problem 10

Perform the following multiplications. $$\frac{2}{3} \cdot \frac{7}{8}$$

4 step solution

Problem 10

Reduce each fraction to lowest terms. $$\frac{72}{42}$$

3 step solution

Problem 10

Convert each mixed number to its corresponding improper fraction. $$ 12 \frac{2}{7} $$

4 step solution

Problem 10

Write the following using words. \(\frac{3}{8}\)

4 step solution

Problem 11

Reduce, if possible, each fraction to lowest terms. (Section 4.4\() \frac{104}{480}\)

5 step solution

Problem 11

For problems 11-15, write each fraction using words. $$\frac{10}{17}$$

4 step solution

Problem 11

Find \(\frac{1}{4}\) of \(\frac{4}{7}\)

3 step solution

Problem 11

Perform the following divisions. $$ 8 \div \frac{8}{15} $$

4 step solution

Problem 11

Perform the following multiplications. $$ \frac{25}{12} \cdot \frac{10}{45} $$

4 step solution

Problem 11

Reduce each fraction to lowest terms. $$\frac{135}{243}$$

3 step solution

Problem 11

For the following 15 problems, identify each expression as a proper fraction, an improper fraction, or a mixed number. $$\frac{3}{2}$$

3 step solution

Problem 11

Write the following using words. \(\frac{1}{10}\)

3 step solution

Problem 12

For problems 12 and 13, determine the missing numerator or denominator. (Section 4.4) \(\frac{5}{9}=\frac{?}{36}\)

5 step solution

Problem 12

Write each fraction using words. $$\frac{21}{38}$$

3 step solution

Problem 12

\(\frac{3}{10}\) of \(\frac{15}{4}\) is what number?

6 step solution

Problem 12

Perform the following divisions. $$ 6 \frac{1}{4} \div \frac{5}{12} $$

5 step solution

Problem 12

Perform the following multiplications. $$ \frac{40}{48} \cdot \frac{72}{90} $$

3 step solution

Problem 12

Reduce each fraction to lowest terms. \(\frac{12}{16}\)

3 step solution

Problem 12

For the following 15 problems, identify each expression as a proper fraction, an improper fraction, or a mixed number. $$\frac{4}{9}$$

5 step solution

Problem 12

Write the following using words. \(\frac{3}{250}\)

3 step solution

Problem 13

Determine the missing numerator or denominator. (Section 4.4) \(\frac{4}{3}=\frac{32}{?}\)

3 step solution

Problem 13

Write each fraction using words. $$ \frac{606}{1431} $$

4 step solution

Problem 13

\(\frac{14}{15}\) of \(\frac{20}{21}\) is what number?

5 step solution

Problem 13

Perform the following divisions. $$3 \frac{1}{3} \div 1 \frac{2}{3}$$

4 step solution

Problem 13

Perform the following multiplications. $$ 7 \cdot \frac{2}{49} $$

6 step solution

Problem 13

Reduce each fraction to lowest terms. \(\frac{9}{24}\)

5 step solution

Problem 13

For the following 15 problems, identify each expression as a proper fraction, an improper fraction, or a mixed number. $$\frac{5}{7}$$

6 step solution

Problem 13

Write the following using words. \(\frac{114}{3,190}\)

3 step solution

Problem 14

For problems 14-25, find each value. (Section 4.5) \(\frac{15}{16} \cdot \frac{4}{25}\)

5 step solution

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