Solve 63/7:21/4

$$6 \frac { 3 } { 7 } : 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{20}{7}\approx 2.857142857$$

Solution Steps

Divide \frac{6\times 7+3}{7} by \frac{2\times 4+1}{4} by multiplying \frac{6\times 7+3}{7} by the reciprocal of \frac{2\times 4+1}{4}.

$$\frac{\left(6\times 7+3\right)\times 4}{7\left(2\times 4+1\right)}$$

Multiply 6 and 7 to get 42.

$$\frac{\left(42+3\right)\times 4}{7\left(2\times 4+1\right)}$$

Add 42 and 3 to get 45.

$$\frac{45\times 4}{7\left(2\times 4+1\right)}$$

Multiply 45 and 4 to get 180.

$$\frac{180}{7\left(2\times 4+1\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{180}{7\left(8+1\right)}$$

Add 8 and 1 to get 9.

$$\frac{180}{7\times 9}$$

Multiply 7 and 9 to get 63.

$$\frac{180}{63}$$

Reduce the fraction \frac{180}{63} to lowest terms by extracting and canceling out 9.

$$\frac{20}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{7} = 2\frac{6}{7} = 2.857142857142857$$