Solve 5/4div7/3div1/5=

$$\frac { 5 } { 4 } \div \frac { 7 } { 3 } \div \frac { 1 } { 5 } =$$

Evaluate

$$\frac{75}{28}\approx 2.678571429$$

Solution Steps

Divide \frac{\frac{5}{4}}{\frac{7}{3}} by \frac{1}{5} by multiplying \frac{\frac{5}{4}}{\frac{7}{3}} by the reciprocal of \frac{1}{5}.

$$\frac{\frac{5}{4}\times 5}{\frac{7}{3}}$$

Express \frac{5}{4}\times 5 as a single fraction.

$$\frac{\frac{5\times 5}{4}}{\frac{7}{3}}$$

Multiply 5 and 5 to get 25.

$$\frac{\frac{25}{4}}{\frac{7}{3}}$$

Divide \frac{25}{4} by \frac{7}{3} by multiplying \frac{25}{4} by the reciprocal of \frac{7}{3}.

$$\frac{25}{4}\times \frac{3}{7}$$

Multiply \frac{25}{4} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 3}{4\times 7}$$

Do the multiplications in the fraction \frac{25\times 3}{4\times 7}.

$$\frac{75}{28}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {2} \cdot 7} = 2\frac{19}{28} = 2.6785714285714284$$