Solve 43/6-21/7

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

Evaluate

$$\frac{33}{14}\approx 2.357142857$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+3}{6}-\frac{2\times 7+1}{7}$$

Add 24 and 3 to get 27.

$$\frac{27}{6}-\frac{2\times 7+1}{7}$$

Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.

$$\frac{9}{2}-\frac{2\times 7+1}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{9}{2}-\frac{14+1}{7}$$

Add 14 and 1 to get 15.

$$\frac{9}{2}-\frac{15}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{9}{2} and \frac{15}{7} to fractions with denominator 14.

$$\frac{63}{14}-\frac{30}{14}$$

Since \frac{63}{14} and \frac{30}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-30}{14}$$

Subtract 30 from 63 to get 33.

$$\frac{33}{14}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 7} = 2\frac{5}{14} = 2.357142857142857$$