Solve 1/4div2/5div3/6=

$$\frac { 1 } { 4 } \div \frac { 2 } { 5 } \div \frac { 3 } { 6 } =$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Divide \frac{\frac{1}{4}}{\frac{2}{5}} by \frac{3}{6} by multiplying \frac{\frac{1}{4}}{\frac{2}{5}} by the reciprocal of \frac{3}{6}.

$$\frac{\frac{1}{4}\times 6}{\frac{2}{5}\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{\frac{1}{4}\times 2}{\frac{2}{5}}$$

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{2}}{\frac{2}{5}}$$

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

$$\frac{1}{2}\times \frac{5}{2}$$

Multiply \frac{1}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{2\times 2}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 2}.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$