Solve 77/10-34/5

$$7 \frac { 7 } { 10 } - 3 \frac { 4 } { 5 }$$

Evaluate

$$\frac{39}{10}=3.9$$

Solution Steps

Multiply 7 and 10 to get 70.

$$\frac{70+7}{10}-\frac{3\times 5+4}{5}$$

Add 70 and 7 to get 77.

$$\frac{77}{10}-\frac{3\times 5+4}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{77}{10}-\frac{15+4}{5}$$

Add 15 and 4 to get 19.

$$\frac{77}{10}-\frac{19}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{77}{10} and \frac{19}{5} to fractions with denominator 10.

$$\frac{77}{10}-\frac{38}{10}$$

Since \frac{77}{10} and \frac{38}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77-38}{10}$$

Subtract 38 from 77 to get 39.

$$\frac{39}{10}$$

Factor

$$\frac{3 \cdot 13}{2 \cdot 5} = 3\frac{9}{10} = 3.9$$