Solve 7/40:3/4=7/6:5

$$\frac { 7 } { 40 } : \frac { 3 } { 4 } = \frac { 7 } { 6 } : 5$$

Verify

Solution Steps

Divide \frac{7}{40} by \frac{3}{4} by multiplying \frac{7}{40} by the reciprocal of \frac{3}{4}.

$$\frac{7}{40}\times \frac{4}{3}=\frac{\frac{7}{6}}{5}$$

Multiply \frac{7}{40} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{40\times 3}=\frac{\frac{7}{6}}{5}$$

Do the multiplications in the fraction \frac{7\times 4}{40\times 3}.

$$\frac{28}{120}=\frac{\frac{7}{6}}{5}$$

Reduce the fraction \frac{28}{120} to lowest terms by extracting and canceling out 4.

$$\frac{7}{30}=\frac{\frac{7}{6}}{5}$$

Express \frac{\frac{7}{6}}{5} as a single fraction.

$$\frac{7}{30}=\frac{7}{6\times 5}$$

Multiply 6 and 5 to get 30.

$$\frac{7}{30}=\frac{7}{30}$$

Compare \frac{7}{30} and \frac{7}{30}.

$$\text{true}$$