Solve 83/4-36/7=

$$8 \frac { 3 } { 4 } - 3 \frac { 6 } { 7 } =$$

Evaluate

$$\frac{137}{28}\approx 4.892857143$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+3}{4}-\frac{3\times 7+6}{7}$$

Add 32 and 3 to get 35.

$$\frac{35}{4}-\frac{3\times 7+6}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{35}{4}-\frac{21+6}{7}$$

Add 21 and 6 to get 27.

$$\frac{35}{4}-\frac{27}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{35}{4} and \frac{27}{7} to fractions with denominator 28.

$$\frac{245}{28}-\frac{108}{28}$$

Since \frac{245}{28} and \frac{108}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{245-108}{28}$$

Subtract 108 from 245 to get 137.

$$\frac{137}{28}$$

Factor

$$\frac{137}{2 ^ {2} \cdot 7} = 4\frac{25}{28} = 4.892857142857143$$