Solve (12/25*15/7)div20/7

$$( \frac { 12 } { 25 } \cdot \frac { 15 } { 7 } ) \div \frac { 20 } { 7 }$$

Evaluate

$$\frac{9}{25}=0.36$$

Solution Steps

Multiply \frac{12}{25} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{12\times 15}{25\times 7}}{\frac{20}{7}}$$

Do the multiplications in the fraction \frac{12\times 15}{25\times 7}.

$$\frac{\frac{180}{175}}{\frac{20}{7}}$$

Reduce the fraction \frac{180}{175} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{36}{35}}{\frac{20}{7}}$$

Divide \frac{36}{35} by \frac{20}{7} by multiplying \frac{36}{35} by the reciprocal of \frac{20}{7}.

$$\frac{36}{35}\times \frac{7}{20}$$

Multiply \frac{36}{35} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\times 7}{35\times 20}$$

Do the multiplications in the fraction \frac{36\times 7}{35\times 20}.

$$\frac{252}{700}$$

Reduce the fraction \frac{252}{700} to lowest terms by extracting and canceling out 28.

$$\frac{9}{25}$$

Factor

$$\frac{3 ^ {2}}{5 ^ {2}} = 0.36$$