Solve 1172/5-967/10

$$117 \frac { 2 } { 5 } - 96 \frac { 7 } { 10 }$$

Evaluate

$$\frac{207}{10}=20.7$$

Solution Steps

Multiply 117 and 5 to get 585.

$$\frac{585+2}{5}-\frac{96\times 10+7}{10}$$

Add 585 and 2 to get 587.

$$\frac{587}{5}-\frac{96\times 10+7}{10}$$

Multiply 96 and 10 to get 960.

$$\frac{587}{5}-\frac{960+7}{10}$$

Add 960 and 7 to get 967.

$$\frac{587}{5}-\frac{967}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{587}{5} and \frac{967}{10} to fractions with denominator 10.

$$\frac{1174}{10}-\frac{967}{10}$$

Since \frac{1174}{10} and \frac{967}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1174-967}{10}$$

Subtract 967 from 1174 to get 207.

$$\frac{207}{10}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 \cdot 5} = 20\frac{7}{10} = 20.7$$