Solve 31/4-12/3/11/4*2/3

$$\frac { 3 \frac { 1 } { 4 } - 12 / 3 } { 11 / 4 \times 2 / 3 }$$

Evaluate

$$-\frac{9}{22}\approx -0.409090909$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{\frac{12+1}{4}-\frac{12}{3}}{\frac{11}{4}\times \frac{2}{3}}$$

Add 12 and 1 to get 13.

$$\frac{\frac{13}{4}-\frac{12}{3}}{\frac{11}{4}\times \frac{2}{3}}$$

Divide 12 by 3 to get 4.

$$\frac{\frac{13}{4}-4}{\frac{11}{4}\times \frac{2}{3}}$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{\frac{13}{4}-\frac{16}{4}}{\frac{11}{4}\times \frac{2}{3}}$$

Since \frac{13}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{13-16}{4}}{\frac{11}{4}\times \frac{2}{3}}$$

Subtract 16 from 13 to get -3.

$$\frac{-\frac{3}{4}}{\frac{11}{4}\times \frac{2}{3}}$$

Multiply \frac{11}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{3}{4}}{\frac{11\times 2}{4\times 3}}$$

Do the multiplications in the fraction \frac{11\times 2}{4\times 3}.

$$\frac{-\frac{3}{4}}{\frac{22}{12}}$$

Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{3}{4}}{\frac{11}{6}}$$

Divide -\frac{3}{4} by \frac{11}{6} by multiplying -\frac{3}{4} by the reciprocal of \frac{11}{6}.

$$-\frac{3}{4}\times \frac{6}{11}$$

Multiply -\frac{3}{4} times \frac{6}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 6}{4\times 11}$$

Do the multiplications in the fraction \frac{-3\times 6}{4\times 11}.

$$\frac{-18}{44}$$

Reduce the fraction \frac{-18}{44} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{22}$$

Factor

$$-\frac{9}{22} = -0.4090909090909091$$