91Ó°ÊÓ

Determine whether the given replacement values are solutions of the given equations. See Example 17. Is \(\frac{9}{11}\) a solution to \(\frac{2}{3} y=\frac{6}{11} ?\)

Evaluate each expression using the given replacement numbers. \(-5 a\) when \(a=-4\)

A pair of crutches needs adjustment. One crutch is 43 inches and the other is \(41 \frac{5}{8}\) inches. Find how much the shorter crutch should be lengthened to make both crutches the same length.

Solve. $$ \frac{19}{53}=\frac{353 x}{1431}+\frac{23}{27} $$

In your own words, define equivalent fractions.

Determine whether the given replacement values are solutions of the given equations. See Example 17. Is \(\frac{2}{5}\) a solution to \(-\frac{1}{2} z=\frac{1}{10} ?\)

Write each mixed number as an improper fraction. See Example 20. $$166 \frac{2}{3}$$

Each expression contains one addition, one subtraction, one multiplication, and one division. Write the operations in the order that they should be performed. Do not actually simplify. $$\frac{1}{3} \div\left(\frac{2}{3}\right)\left(\frac{4}{5}\right)-\frac{1}{4}+\frac{1}{2}$$

Each expression contains one addition, one subtraction, one multiplication, and one division. Write the operations in the order that they should be performed. Do not actually simplify. $$\left(\frac{5}{6}-\frac{1}{3}\right) \cdot \frac{1}{3}+\frac{1}{2} \div \frac{9}{8}$$

Write each mixed number as an improper fraction. See Example 20. $$114 \frac{2}{7}$$