Solve 51/7div21/4

$$5 \frac { 1 } { 7 } \div 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{16}{7}\approx 2.285714286$$

Solution Steps

Divide \frac{5\times 7+1}{7} by \frac{2\times 4+1}{4} by multiplying \frac{5\times 7+1}{7} by the reciprocal of \frac{2\times 4+1}{4}.

$$\frac{\left(5\times 7+1\right)\times 4}{7\left(2\times 4+1\right)}$$

Multiply 5 and 7 to get 35.

$$\frac{\left(35+1\right)\times 4}{7\left(2\times 4+1\right)}$$

Add 35 and 1 to get 36.

$$\frac{36\times 4}{7\left(2\times 4+1\right)}$$

Multiply 36 and 4 to get 144.

$$\frac{144}{7\left(2\times 4+1\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{144}{7\left(8+1\right)}$$

Add 8 and 1 to get 9.

$$\frac{144}{7\times 9}$$

Multiply 7 and 9 to get 63.

$$\frac{144}{63}$$

Reduce the fraction \frac{144}{63} to lowest terms by extracting and canceling out 9.

$$\frac{16}{7}$$

Factor

$$\frac{2 ^ {4}}{7} = 2\frac{2}{7} = 2.2857142857142856$$