Solve 3/4div(13*1/12)

$$\frac { 3 } { 4 } \div ( 13 \times \frac { 1 } { 12 } )$$

Evaluate

$$\frac{9}{13}\approx 0.692307692$$

Solution Steps

Multiply 13 and \frac{1}{12} to get \frac{13}{12}.

$$\frac{\frac{3}{4}}{\frac{13}{12}}$$

Divide \frac{3}{4} by \frac{13}{12} by multiplying \frac{3}{4} by the reciprocal of \frac{13}{12}.

$$\frac{3}{4}\times \frac{12}{13}$$

Multiply \frac{3}{4} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 12}{4\times 13}$$

Do the multiplications in the fraction \frac{3\times 12}{4\times 13}.

$$\frac{36}{52}$$

Reduce the fraction \frac{36}{52} to lowest terms by extracting and canceling out 4.

$$\frac{9}{13}$$

Factor

$$\frac{3 ^ {2}}{13} = 0.6923076923076923$$