Solve 5/4div4/2div2/7

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

Evaluate

$$\frac{35}{16}=2.1875$$

Solution Steps

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

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

Express \frac{5}{4}\times 7 as a single fraction.

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

Multiply 5 and 7 to get 35.

$$\frac{\frac{35}{4}}{\frac{4}{2}\times 2}$$

Divide 4 by 2 to get 2.

$$\frac{\frac{35}{4}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{35}{4}}{4}$$

Express \frac{\frac{35}{4}}{4} as a single fraction.

$$\frac{35}{4\times 4}$$

Multiply 4 and 4 to get 16.

$$\frac{35}{16}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {4}} = 2\frac{3}{16} = 2.1875$$