Solve 4/322/77*7*7

$$\frac{ \frac{ 4 }{ 3 } 22 }{ 7 } 7 \cdot 7 \times 7$$

Evaluate

$$\frac{4312}{3}\approx 1437.333333333$$

Solution Steps

Express \frac{4}{3}\times 22 as a single fraction.

$$\frac{\frac{4\times 22}{3}}{7}\times 7\times 7\times 7$$

Multiply 4 and 22 to get 88.

$$\frac{\frac{88}{3}}{7}\times 7\times 7\times 7$$

Express \frac{\frac{88}{3}}{7} as a single fraction.

$$\frac{88}{3\times 7}\times 7\times 7\times 7$$

Multiply 3 and 7 to get 21.

$$\frac{88}{21}\times 7\times 7\times 7$$

Express \frac{88}{21}\times 7 as a single fraction.

$$\frac{88\times 7}{21}\times 7\times 7$$

Multiply 88 and 7 to get 616.

$$\frac{616}{21}\times 7\times 7$$

Reduce the fraction \frac{616}{21} to lowest terms by extracting and canceling out 7.

$$\frac{88}{3}\times 7\times 7$$

Express \frac{88}{3}\times 7 as a single fraction.

$$\frac{88\times 7}{3}\times 7$$

Multiply 88 and 7 to get 616.

$$\frac{616}{3}\times 7$$

Express \frac{616}{3}\times 7 as a single fraction.

$$\frac{616\times 7}{3}$$

Multiply 616 and 7 to get 4312.

$$\frac{4312}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 7 ^ {2} \cdot 11}{3} = 1437\frac{1}{3} = 1437.3333333333333$$