Chapter 4

Fundamentals of Mathematics · 607 exercises

Problem 1

Find \(\frac{3}{8}\) of \(\frac{16}{15}\).

5 step solution

Problem 1

Find the reciprocal of each number. $$\frac{3}{10}$$

4 step solution

Problem 1

Perform the following multiplications. $$ \frac{2}{5} \cdot \frac{1}{6} $$

4 step solution

Problem 1

Determine if the pairs of fractions are equivalent. $$\frac{1}{2}, \frac{3}{6}$$

3 step solution

Problem 1

Convert each improper fraction to its corresponding mixed number. \(\frac{9}{2}\)

5 step solution

Problem 1

Specify the numerator and denominator of the following fractions. \(\frac{4}{7}\)

2 step solution

Problem 2

(Section 4.2) Specify the numerator and denominator of the fraction \(\frac{5}{9}\).

2 step solution

Problem 2

What number is \(\frac{9}{10}\) of \(\frac{5}{6} ?\)

5 step solution

Problem 2

Find the reciprocal of each number. $$\frac{2}{3}$$

4 step solution

Problem 2

Perform the following multiplications. $$ \frac{1}{4} \cdot \frac{8}{9} $$

5 step solution

Problem 2

Determine if the pairs of fractions are equivalent. $$\frac{4}{5}, \frac{12}{15}$$

5 step solution

Problem 2

Convert each improper fraction to its corresponding mixed number. \(\frac{11}{3}\)

3 step solution

Problem 2

Specify the numerator and denominator of the following fractions. \(\frac{5}{8}\)

2 step solution

Problem 3

(Section 4.2) Write the fraction five elevenths.

3 step solution

Problem 3

For problems 3-5, specify the numerator and denominator. $$ \frac{4}{5} $$

3 step solution

Problem 3

\(\frac{11}{16}\) of \(\frac{8}{33}\) is what number?

7 step solution

Problem 3

Find the reciprocal of each number. $$\frac{7}{8}$$

3 step solution

Problem 3

Perform the following multiplications. $$ \frac{4}{9} \cdot \frac{15}{16} $$

5 step solution

Problem 3

Determine if the pairs of fractions are equivalent. $$ \frac{2}{3}, \frac{8}{15} $$

2 step solution

Problem 3

Convert each improper fraction to its corresponding mixed number. \(\frac{14}{11}\)

3 step solution

Problem 3

Specify the numerator and denominator of the following fractions. \(\frac{10}{15}\)

2 step solution

Problem 4

(Section 4.2) Write, in words, \(\frac{4}{5}\).

5 step solution

Problem 4

Specify the numerator and denominator. $$ \frac{5}{12} $$

3 step solution

Problem 4

\(\frac{3}{5}\) of what number is \(\frac{9}{20} ?\)

7 step solution

Problem 4

Find the reciprocal of each number. $$\frac{1}{5}$$

4 step solution

Problem 4

Perform the following multiplications. $$ \left(\frac{2}{3}\right)\left(\frac{2}{3}\right) $$

4 step solution

Problem 4

Determine if the pairs of fractions are equivalent. $$\frac{1}{8}, \frac{5}{40}$$

3 step solution

Problem 4

Convert each improper fraction to its corresponding mixed number. \(\frac{31}{13}\)

4 step solution

Problem 4

Specify the numerator and denominator of the following fractions. \(\frac{1}{9}\)

2 step solution

Problem 5

(Section 4.3) Which of the fractions is a proper fraction? \(4 \frac{1}{12}, \frac{5}{12}, \frac{12}{5}\)

4 step solution

Problem 5

Specify the numerator and denominator. $$ \frac{1}{3} $$

3 step solution

Problem 5

\(3 \frac{3}{4}\) of what number is \(2 \frac{2}{9} ?\)

6 step solution

Problem 5

Find the reciprocal of each number. $$2 \frac{2}{7}$$ HINT: Write this number as an improper fraction first.

2 step solution

Problem 5

Perform the following multiplications. $$ \left(\frac{7}{4}\right)\left(\frac{8}{5}\right) $$

5 step solution

Problem 5

Determine if the pairs of fractions are equivalent. $$ \frac{3}{12}, \frac{1}{4} $$

3 step solution

Problem 5

Convert each improper fraction to its corresponding mixed number. \(\frac{79}{4}\)

3 step solution

Problem 5

Specify the numerator and denominator of the following fractions. \(\frac{0}{2}\)

2 step solution

Problem 6

(Section 4.3) Convert \(3 \frac{4}{7}\) to an improper fraction.

4 step solution

Problem 6

For problems 6-10, write each fraction using digits. Three fifths

4 step solution

Problem 6

What part of \(\frac{3}{5}\) is \(\frac{9}{10} ?\)

4 step solution

Problem 6

Find the reciprocal of each number. $$5 \frac{1}{4}$$

3 step solution

Problem 6

Perform the following multiplications. $$ \frac{5}{6} \cdot \frac{7}{8} $$

4 step solution

Problem 6

Reduce each fraction to lowest terms. $$\frac{4}{8}$$

2 step solution

Problem 6

Convert each improper fraction to its corresponding mixed number. \(\frac{496}{8}\)

3 step solution

Problem 7

(Section 4.3) Convert \(\frac{16}{5}\) to a mixed number.

5 step solution

Problem 7

Write each fraction using digits. Eight elevenths

3 step solution

Problem 7

What part of \(1 \frac{1}{4}\) is \(1 \frac{7}{8} ?\)

5 step solution

Problem 7

Find the reciprocal of each number. $$10 \frac{3}{16}$$

3 step solution

Problem 7

Perform the following multiplications. $$ \frac{2}{3} \cdot 5 $$

5 step solution

Problem 7

Reduce each fraction to lowest terms. $$\frac{6}{15}$$

2 step solution

Show/ page