Solve 7/15*1/15/frac{7{40}}

$$\frac { \frac { 7 } { 15 } \times \frac { 1 } { 15 } } { \frac { 7 } { 40 } }$$

Evaluate

$$\frac{8}{45}\approx 0.177777778$$

Solution Steps

Multiply \frac{7}{15} times \frac{1}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\times 1}{15\times 15}}{\frac{7}{40}}$$

Do the multiplications in the fraction \frac{7\times 1}{15\times 15}.

$$\frac{\frac{7}{225}}{\frac{7}{40}}$$

Divide \frac{7}{225} by \frac{7}{40} by multiplying \frac{7}{225} by the reciprocal of \frac{7}{40}.

$$\frac{7}{225}\times \frac{40}{7}$$

Multiply \frac{7}{225} times \frac{40}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 40}{225\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{40}{225}$$

Reduce the fraction \frac{40}{225} to lowest terms by extracting and canceling out 5.

$$\frac{8}{45}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2} \cdot 5} = 0.17777777777777778$$