Solve /frac{5{4}div7/2}

$$\frac{ }{ \frac{ 5 }{ 4 } \div \frac{ 7 }{ 2 } }$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Divide 1 by \frac{\frac{5}{4}}{\frac{7}{2}} by multiplying 1 by the reciprocal of \frac{\frac{5}{4}}{\frac{7}{2}}.

$$\frac{\frac{7}{2}}{\frac{5}{4}}$$

Divide \frac{7}{2} by \frac{5}{4} by multiplying \frac{7}{2} by the reciprocal of \frac{5}{4}.

$$\frac{7}{2}\times \frac{4}{5}$$

Multiply \frac{7}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{2\times 5}$$

Do the multiplications in the fraction \frac{7\times 4}{2\times 5}.

$$\frac{28}{10}$$

Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$