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