Solve 1011/14-71/7

$$10 \frac { 11 } { 14 } - 7 \frac { 1 } { 7 }$$

Evaluate

$$\frac{51}{14}\approx 3.642857143$$

Solution Steps

Multiply 10 and 14 to get 140.

$$\frac{140+11}{14}-\frac{7\times 7+1}{7}$$

Add 140 and 11 to get 151.

$$\frac{151}{14}-\frac{7\times 7+1}{7}$$

Multiply 7 and 7 to get 49.

$$\frac{151}{14}-\frac{49+1}{7}$$

Add 49 and 1 to get 50.

$$\frac{151}{14}-\frac{50}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{151}{14} and \frac{50}{7} to fractions with denominator 14.

$$\frac{151}{14}-\frac{100}{14}$$

Since \frac{151}{14} and \frac{100}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{151-100}{14}$$

Subtract 100 from 151 to get 51.

$$\frac{51}{14}$$

Factor

$$\frac{3 \cdot 17}{2 \cdot 7} = 3\frac{9}{14} = 3.642857142857143$$