Solve 12/7*17/18div13/4

$$1 \frac { 2 } { 7 } \times \frac { 17 } { 18 } \div \frac { 13 } { 4 }$$

Evaluate

$$\frac{34}{91}\approx 0.373626374$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{\frac{7+2}{7}\times \frac{17}{18}}{\frac{13}{4}}$$

Add 7 and 2 to get 9.

$$\frac{\frac{9}{7}\times \frac{17}{18}}{\frac{13}{4}}$$

Multiply \frac{9}{7} times \frac{17}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9\times 17}{7\times 18}}{\frac{13}{4}}$$

Do the multiplications in the fraction \frac{9\times 17}{7\times 18}.

$$\frac{\frac{153}{126}}{\frac{13}{4}}$$

Reduce the fraction \frac{153}{126} to lowest terms by extracting and canceling out 9.

$$\frac{\frac{17}{14}}{\frac{13}{4}}$$

Divide \frac{17}{14} by \frac{13}{4} by multiplying \frac{17}{14} by the reciprocal of \frac{13}{4}.

$$\frac{17}{14}\times \frac{4}{13}$$

Multiply \frac{17}{14} times \frac{4}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 4}{14\times 13}$$

Do the multiplications in the fraction \frac{17\times 4}{14\times 13}.

$$\frac{68}{182}$$

Reduce the fraction \frac{68}{182} to lowest terms by extracting and canceling out 2.

$$\frac{34}{91}$$

Factor

$$\frac{2 \cdot 17}{7 \cdot 13} = 0.37362637362637363$$