Solve 72/7-27/8=

$$7 \frac { 2 } { 7 } - 2 \frac { 7 } { 8 } =$$

Evaluate

$$\frac{247}{56}\approx 4.410714286$$

Solution Steps

Multiply 7 and 7 to get 49.

$$\frac{49+2}{7}-\frac{2\times 8+7}{8}$$

Add 49 and 2 to get 51.

$$\frac{51}{7}-\frac{2\times 8+7}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{51}{7}-\frac{16+7}{8}$$

Add 16 and 7 to get 23.

$$\frac{51}{7}-\frac{23}{8}$$

Least common multiple of 7 and 8 is 56. Convert \frac{51}{7} and \frac{23}{8} to fractions with denominator 56.

$$\frac{408}{56}-\frac{161}{56}$$

Since \frac{408}{56} and \frac{161}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{408-161}{56}$$

Subtract 161 from 408 to get 247.

$$\frac{247}{56}$$

Factor

$$\frac{13 \cdot 19}{2 ^ {3} \cdot 7} = 4\frac{23}{56} = 4.410714285714286$$