Solve 5/12*3/8div9/7

$$\frac { 5 } { 12 } \times \frac { 3 } { 8 } \div \frac { 9 } { 7 }$$

Evaluate

$$\frac{35}{288}\approx 0.121527778$$

Solution Steps

Multiply \frac{5}{12} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 3}{12\times 8}}{\frac{9}{7}}$$

Do the multiplications in the fraction \frac{5\times 3}{12\times 8}.

$$\frac{\frac{15}{96}}{\frac{9}{7}}$$

Reduce the fraction \frac{15}{96} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{5}{32}}{\frac{9}{7}}$$

Divide \frac{5}{32} by \frac{9}{7} by multiplying \frac{5}{32} by the reciprocal of \frac{9}{7}.

$$\frac{5}{32}\times \frac{7}{9}$$

Multiply \frac{5}{32} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{32\times 9}$$

Do the multiplications in the fraction \frac{5\times 7}{32\times 9}.

$$\frac{35}{288}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {5} \cdot 3 ^ {2}} = 0.12152777777777778$$