Solve (1/13)div(4/65)=

$$( \frac { 1 } { 13 } ) \div ( \frac { 4 } { 65 } ) =$$

Evaluate

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

Solution Steps

Divide \frac{1}{13} by \frac{4}{65} by multiplying \frac{1}{13} by the reciprocal of \frac{4}{65}.

$$\frac{1}{13}\times \frac{65}{4}$$

Multiply \frac{1}{13} times \frac{65}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 65}{13\times 4}$$

Do the multiplications in the fraction \frac{1\times 65}{13\times 4}.

$$\frac{65}{52}$$

Reduce the fraction \frac{65}{52} to lowest terms by extracting and canceling out 13.

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

Factor

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