Solve 4.7-3.6div0.8+7.7

$$4.7 - 3.6 \div 0.8 + 7.7$$

Evaluate

$$7.9$$

Solution Steps

Expand \frac{3.6}{0.8} by multiplying both numerator and the denominator by 10.

$$4.7-\frac{36}{8}+7.7$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$4.7-\frac{9}{2}+7.7$$

Convert decimal number 4.7 to fraction \frac{47}{10}.

$$\frac{47}{10}-\frac{9}{2}+7.7$$

Least common multiple of 10 and 2 is 10. Convert \frac{47}{10} and \frac{9}{2} to fractions with denominator 10.

$$\frac{47}{10}-\frac{45}{10}+7.7$$

Since \frac{47}{10} and \frac{45}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-45}{10}+7.7$$

Subtract 45 from 47 to get 2.

$$\frac{2}{10}+7.7$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+7.7$$

Convert decimal number 7.7 to fraction \frac{77}{10}.

$$\frac{1}{5}+\frac{77}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{77}{10} to fractions with denominator 10.

$$\frac{2}{10}+\frac{77}{10}$$

Since \frac{2}{10} and \frac{77}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+77}{10}$$

Add 2 and 77 to get 79.

$$\frac{79}{10}$$

Factor

$$\frac{79}{2 \cdot 5} = 7\frac{9}{10} = 7.9$$