Solve 7.5+6.3+8.2+8.7+7.5+6.9div6

$$7.5+6.3+8.2+8.7+7.5+6.9 \div 6$$

Evaluate

$$39.35$$

Solution Steps

Add 7.5 and 6.3 to get 13.8.

$$13.8+8.2+8.7+7.5+\frac{6.9}{6}$$

Add 13.8 and 8.2 to get 22.

$$22+8.7+7.5+\frac{6.9}{6}$$

Add 22 and 8.7 to get 30.7.

$$30.7+7.5+\frac{6.9}{6}$$

Add 30.7 and 7.5 to get 38.2.

$$38.2+\frac{6.9}{6}$$

Expand \frac{6.9}{6} by multiplying both numerator and the denominator by 10.

$$38.2+\frac{69}{60}$$

Reduce the fraction \frac{69}{60} to lowest terms by extracting and canceling out 3.

$$38.2+\frac{23}{20}$$

Convert decimal number 38.2 to fraction \frac{382}{10}. Reduce the fraction \frac{382}{10} to lowest terms by extracting and canceling out 2.

$$\frac{191}{5}+\frac{23}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{191}{5} and \frac{23}{20} to fractions with denominator 20.

$$\frac{764}{20}+\frac{23}{20}$$

Since \frac{764}{20} and \frac{23}{20} have the same denominator, add them by adding their numerators.

$$\frac{764+23}{20}$$

Add 764 and 23 to get 787.

$$\frac{787}{20}$$

Factor

$$\frac{787}{5 \cdot 2 ^ {2}} = 39\frac{7}{20} = 39.35$$