Solve 74/7-41/14

$$7 \frac { 4 } { 7 } - 4 \frac { 1 } { 14 }$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 7 and 7 to get 49.

$$\frac{49+4}{7}-\frac{4\times 14+1}{14}$$

Add 49 and 4 to get 53.

$$\frac{53}{7}-\frac{4\times 14+1}{14}$$

Multiply 4 and 14 to get 56.

$$\frac{53}{7}-\frac{56+1}{14}$$

Add 56 and 1 to get 57.

$$\frac{53}{7}-\frac{57}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{53}{7} and \frac{57}{14} to fractions with denominator 14.

$$\frac{106}{14}-\frac{57}{14}$$

Since \frac{106}{14} and \frac{57}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{106-57}{14}$$

Subtract 57 from 106 to get 49.

$$\frac{49}{14}$$

Reduce the fraction \frac{49}{14} to lowest terms by extracting and canceling out 7.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$