Solve 74/8/9*7

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

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Solution Steps

Express \frac{\frac{7\times 8+4}{8}}{9} as a single fraction.

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

Multiply 7 and 8 to get 56.

$$\frac{56+4}{8\times 9}\times 7$$

Add 56 and 4 to get 60.

$$\frac{60}{8\times 9}\times 7$$

Multiply 8 and 9 to get 72.

$$\frac{60}{72}\times 7$$

Reduce the fraction \frac{60}{72} to lowest terms by extracting and canceling out 12.

$$\frac{5}{6}\times 7$$

Express \frac{5}{6}\times 7 as a single fraction.

$$\frac{5\times 7}{6}$$

Multiply 5 and 7 to get 35.

$$\frac{35}{6}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$