Solve 6/7*2/5div8/15

$$\frac { 6 } { 7 } \times \frac { 2 } { 5 } \div \frac { 8 } { 15 }$$

Evaluate

$$\frac{9}{14}\approx 0.642857143$$

Solution Steps

Multiply \frac{6}{7} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{6\times 2}{7\times 5}}{\frac{8}{15}}$$

Do the multiplications in the fraction \frac{6\times 2}{7\times 5}.

$$\frac{\frac{12}{35}}{\frac{8}{15}}$$

Divide \frac{12}{35} by \frac{8}{15} by multiplying \frac{12}{35} by the reciprocal of \frac{8}{15}.

$$\frac{12}{35}\times \frac{15}{8}$$

Multiply \frac{12}{35} times \frac{15}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 15}{35\times 8}$$

Do the multiplications in the fraction \frac{12\times 15}{35\times 8}.

$$\frac{180}{280}$$

Reduce the fraction \frac{180}{280} to lowest terms by extracting and canceling out 20.

$$\frac{9}{14}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 7} = 0.6428571428571429$$