Chapter 4

Fundamentals of Mathematics · 607 exercises

Problem 50

Reduce, if possible, each fraction. $$\frac{102}{266}$$

5 step solution

Problem 50

\(\frac{11}{16}\) of what number is \(1 ?\)

5 step solution

Problem 50

For the following problems, find each value. $$5 \frac{1}{6} \div \frac{31}{6}$$

4 step solution

Problem 50

For the following problems, find each part without using a diagram. $$\frac{1}{2}\( of \)\frac{1}{3}\( of \)\frac{1}{4}$$

5 step solution

Problem 50

For the following problems, determine the missing numerator or denominator. $$\frac{1}{8}=\frac{3}{?}$$

5 step solution

Problem 50

For the following 15 problems, convert each of the mixed numbers to its corresponding improper fraction. $$17 \frac{9}{10}$$

4 step solution

Problem 51

Reduce, if possible, each fraction. $$\frac{15}{33}$$

3 step solution

Problem 51

What part of \(\frac{23}{40}\) is \(3 \frac{9}{20} ?\)

5 step solution

Problem 51

For the following problems, find each value. $$\frac{35}{6} \div 3 \frac{3}{4}$$

5 step solution

Problem 51

For the following problems, find each part without using a diagram. $$1 \frac{3}{7}\( of \)5 \frac{1}{5}\( of \)8 \frac{1}{3}$$

3 step solution

Problem 51

For the following problems, determine the missing numerator or denominator. $$ \frac{4}{5}=\frac{?}{100} $$

4 step solution

Problem 51

For the following 15 problems, convert each of the mixed numbers to its corresponding improper fraction. $$9 \frac{20}{21}$$

4 step solution

Problem 52

Reduce, if possible, each fraction. $$\frac{18}{25}$$

4 step solution

Problem 52

\(\frac{4}{35}\) of \(3 \frac{9}{22}\) is what number?

5 step solution

Problem 52

For the following problems, find each value. $$5 \frac{1}{9} \div \frac{1}{18}$$

4 step solution

Problem 52

For the following problems, find each part without using a diagram. $$2 \frac{4}{5}\( of \)5 \frac{5}{6}\( of \)7 \frac{5}{7}$$

4 step solution

Problem 52

For the following problems, determine the missing numerator or denominator. $$ \frac{1}{2}=\frac{25}{?} $$

4 step solution

Problem 52

For the following 15 problems, convert each of the mixed numbers to its corresponding improper fraction. $$5 \frac{1}{16}$$

4 step solution

Problem 53

Reduce, if possible, each fraction. $$\frac{21}{35}$$

4 step solution

Problem 53

(Section 1.7) Use the numbers 2 and 7 to illustrate the commutative property of addition.

5 step solution

Problem 53

For the following problems, find each value. $$8 \frac{3}{4} \div \frac{7}{8}$$

6 step solution

Problem 53

For the following problems, find the products. Be sure to reduce. $$\frac{1}{3} \cdot \frac{2}{3}$$

4 step solution

Problem 53

For the following problems, determine the missing numerator or denominator. $$\frac{3}{16}=\frac{?}{96}$$

6 step solution

Problem 53

For the following 15 problems, convert each of the mixed numbers to its corresponding improper fraction. $$90 \frac{1}{100}$$

4 step solution

Problem 54

Reduce, if possible, each fraction. $$\frac{9}{16}$$

3 step solution

Problem 54

(Section 2.3) Is 4 divisible by \(0 ?\)

3 step solution

Problem 54

For the following problems, find each value. $$\frac{12}{8} \div 1 \frac{1}{2}$$

4 step solution

Problem 54

For the following problems, find the products. Be sure to reduce. $$\frac{1}{2} \cdot \frac{1}{2}$$

4 step solution

Problem 54

For the following problems, determine the missing numerator or denominator. $$\frac{15}{16}=\frac{225}{?}$$

5 step solution

Problem 54

For the following 15 problems, convert each of the mixed numbers to its corresponding improper fraction. $$300 \frac{43}{1,000}$$

5 step solution

Problem 54

For the following 4 problems, shade the portion corresponding to the given fraction on the given figure. \(\frac{6}{6}\)

3 step solution

Problem 55

Reduce, if possible, each fraction. $$\frac{45}{85}$$

3 step solution

Problem 55

(Section 3.5) Expand \(3^{7}\). Do not find the actual value.

3 step solution

Problem 55

For the following problems, find each value. $$ 3 \frac{1}{8} \div \frac{15}{16} $$

5 step solution

Problem 55

For the following problems, find the products. Be sure to reduce. $$ \frac{3}{4} \cdot \frac{3}{8} $$

4 step solution

Problem 55

For the following problems, determine the missing numerator or denominator. $$\frac{11}{12}=\frac{?}{168}$$

6 step solution

Problem 55

For the following 15 problems, convert each of the mixed numbers to its corresponding improper fraction. $$19 \frac{7}{8}$$

4 step solution

Problem 56

Reduce, if possible, each fraction. $$\frac{24}{42}$$

3 step solution

Problem 56

(Section 4.3) Convert \(3 \frac{5}{12}\) to an improper fraction.

4 step solution

Problem 56

For the following problems, find each value. $$11 \frac{11}{12} \div 9 \frac{5}{8}$$

5 step solution

Problem 56

For the following problems, find the products. Be sure to reduce. $$\frac{2}{5} \cdot \frac{5}{6}$$

4 step solution

Problem 56

For the following problems, determine the missing numerator or denominator. $$\frac{9}{13}=\frac{?}{286}$$

7 step solution

Problem 56

Why does \(0 \frac{4}{7}\) not qualify as a mixed number? HINT: See the definition of a mixed number.

4 step solution

Problem 56

State the numerator and denominator and write in words each of the fractions appearing in the statements for the following 10 problems. A contractor is selling houses on \(\frac{1}{4}\) acre lots.

4 step solution

Problem 57

Reduce, if possible, each fraction. $$\frac{70}{136}$$

4 step solution

Problem 57

(Section 4.4) Find the value of \(\frac{3}{8} \div \frac{9}{16} \cdot \frac{6}{5}\).

3 step solution

Problem 57

For the following problems, find each value. $$2 \frac{2}{9} \div 11 \frac{2}{3}$$

6 step solution

Problem 57

For the following problems, find the products. Be sure to reduce. $$\frac{3}{8} \cdot \frac{8}{9}$$

4 step solution

Problem 57

For the following problems, determine the missing numerator or denominator. $$\frac{32}{33}=\frac{?}{1518}$$

5 step solution

Problem 57

State the numerator and denominator and write in words each of the fractions appearing in the statements for the following 10 problems. The fraction \(\frac{22}{7}\) is sometimes used as an approximation to the number \(\pi\). "pi.")

6 step solution

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