Solve 1272/5-967/10

$$127 \frac{ 2 }{ 5 } -96 \frac{ 7 }{ 10 }$$

Evaluate

$$\frac{307}{10}=30.7$$

Solution Steps

Multiply 127 and 5 to get 635.

$$\frac{635+2}{5}-\frac{96\times 10+7}{10}$$

Add 635 and 2 to get 637.

$$\frac{637}{5}-\frac{96\times 10+7}{10}$$

Multiply 96 and 10 to get 960.

$$\frac{637}{5}-\frac{960+7}{10}$$

Add 960 and 7 to get 967.

$$\frac{637}{5}-\frac{967}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{637}{5} and \frac{967}{10} to fractions with denominator 10.

$$\frac{1274}{10}-\frac{967}{10}$$

Since \frac{1274}{10} and \frac{967}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1274-967}{10}$$

Subtract 967 from 1274 to get 307.

$$\frac{307}{10}$$

Factor

$$\frac{307}{2 \cdot 5} = 30\frac{7}{10} = 30.7$$