Solve 211/12div13/4

$$2 \frac { 11 } { 12 } \div 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Divide \frac{2\times 12+11}{12} by \frac{1\times 4+3}{4} by multiplying \frac{2\times 12+11}{12} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{\left(2\times 12+11\right)\times 4}{12\left(1\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{11+2\times 12}{3\left(3+4\right)}$$

Multiply 2 and 12 to get 24.

$$\frac{11+24}{3\left(3+4\right)}$$

Add 11 and 24 to get 35.

$$\frac{35}{3\left(3+4\right)}$$

Add 3 and 4 to get 7.

$$\frac{35}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{35}{21}$$

Reduce the fraction \frac{35}{21} to lowest terms by extracting and canceling out 7.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$