Solve 53/14+3/7-21/2

$$5 \frac{ 3 }{ 14 } + \frac{ 3 }{ 7 } -2 \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{22}{7}\approx 3.142857143$$

Solution Steps

Multiply 5 and 14 to get 70.

$$\frac{70+3}{14}+\frac{3}{7}-\frac{2\times 2+1}{2}$$

Add 70 and 3 to get 73.

$$\frac{73}{14}+\frac{3}{7}-\frac{2\times 2+1}{2}$$

Least common multiple of 14 and 7 is 14. Convert \frac{73}{14} and \frac{3}{7} to fractions with denominator 14.

$$\frac{73}{14}+\frac{6}{14}-\frac{2\times 2+1}{2}$$

Since \frac{73}{14} and \frac{6}{14} have the same denominator, add them by adding their numerators.

$$\frac{73+6}{14}-\frac{2\times 2+1}{2}$$

Add 73 and 6 to get 79.

$$\frac{79}{14}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{79}{14}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{79}{14}-\frac{5}{2}$$

Least common multiple of 14 and 2 is 14. Convert \frac{79}{14} and \frac{5}{2} to fractions with denominator 14.

$$\frac{79}{14}-\frac{35}{14}$$

Since \frac{79}{14} and \frac{35}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{79-35}{14}$$

Subtract 35 from 79 to get 44.

$$\frac{44}{14}$$

Reduce the fraction \frac{44}{14} to lowest terms by extracting and canceling out 2.

$$\frac{22}{7}$$

Factor

$$\frac{2 \cdot 11}{7} = 3\frac{1}{7} = 3.142857142857143$$