Solve 21/4*51/3div21/4

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

Evaluate

$$\frac{16}{3}\approx 5.333333333$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{\frac{8+1}{4}\times \frac{5\times 3+1}{3}}{\frac{2\times 4+1}{4}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{4}\times \frac{5\times 3+1}{3}}{\frac{2\times 4+1}{4}}$$

Multiply 5 and 3 to get 15.

$$\frac{\frac{9}{4}\times \frac{15+1}{3}}{\frac{2\times 4+1}{4}}$$

Add 15 and 1 to get 16.

$$\frac{\frac{9}{4}\times \frac{16}{3}}{\frac{2\times 4+1}{4}}$$

Multiply \frac{9}{4} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9\times 16}{4\times 3}}{\frac{2\times 4+1}{4}}$$

Do the multiplications in the fraction \frac{9\times 16}{4\times 3}.

$$\frac{\frac{144}{12}}{\frac{2\times 4+1}{4}}$$

Divide 144 by 12 to get 12.

$$\frac{12}{\frac{2\times 4+1}{4}}$$

Multiply 2 and 4 to get 8.

$$\frac{12}{\frac{8+1}{4}}$$

Add 8 and 1 to get 9.

$$\frac{12}{\frac{9}{4}}$$

Divide 12 by \frac{9}{4} by multiplying 12 by the reciprocal of \frac{9}{4}.

$$12\times \frac{4}{9}$$

Express 12\times \frac{4}{9} as a single fraction.

$$\frac{12\times 4}{9}$$

Multiply 12 and 4 to get 48.

$$\frac{48}{9}$$

Reduce the fraction \frac{48}{9} to lowest terms by extracting and canceling out 3.

$$\frac{16}{3}$$

Factor

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$