Solve 16/7-3/4

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

Evaluate

$$\frac{31}{28}\approx 1.107142857$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{7+6}{7}-\frac{3}{4}$$

Add 7 and 6 to get 13.

$$\frac{13}{7}-\frac{3}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{13}{7} and \frac{3}{4} to fractions with denominator 28.

$$\frac{52}{28}-\frac{21}{28}$$

Since \frac{52}{28} and \frac{21}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-21}{28}$$

Subtract 21 from 52 to get 31.

$$\frac{31}{28}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 7} = 1\frac{3}{28} = 1.1071428571428572$$