Solve 4.8/6+7-0.7

$$\frac{ 4.8 }{ 6 } +7-0.7$$

Evaluate

$$7.1$$

Solution Steps

Expand \frac{4.8}{6} by multiplying both numerator and the denominator by 10.

$$\frac{48}{60}+7-0.7$$

Reduce the fraction \frac{48}{60} to lowest terms by extracting and canceling out 12.

$$\frac{4}{5}+7-0.7$$

Convert 7 to fraction \frac{35}{5}.

$$\frac{4}{5}+\frac{35}{5}-0.7$$

Since \frac{4}{5} and \frac{35}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+35}{5}-0.7$$

Add 4 and 35 to get 39.

$$\frac{39}{5}-0.7$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{39}{5}-\frac{7}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{39}{5} and \frac{7}{10} to fractions with denominator 10.

$$\frac{78}{10}-\frac{7}{10}$$

Since \frac{78}{10} and \frac{7}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{78-7}{10}$$

Subtract 7 from 78 to get 71.

$$\frac{71}{10}$$

Factor

$$\frac{71}{2 \cdot 5} = 7\frac{1}{10} = 7.1$$