Solve 9/8+7/4*74=

$$\frac{ 9 }{ 8 } + \frac{ 7 }{ 4 } \times 74=$$

Evaluate

$$\frac{1045}{8}=130.625$$

Solution Steps

Express \frac{7}{4}\times 74 as a single fraction.

$$\frac{9}{8}+\frac{7\times 74}{4}$$

Multiply 7 and 74 to get 518.

$$\frac{9}{8}+\frac{518}{4}$$

Reduce the fraction \frac{518}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{8}+\frac{259}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{9}{8} and \frac{259}{2} to fractions with denominator 8.

$$\frac{9}{8}+\frac{1036}{8}$$

Since \frac{9}{8} and \frac{1036}{8} have the same denominator, add them by adding their numerators.

$$\frac{9+1036}{8}$$

Add 9 and 1036 to get 1045.

$$\frac{1045}{8}$$

Factor

$$\frac{5 \cdot 11 \cdot 19}{2 ^ {3}} = 130\frac{5}{8} = 130.625$$