Solve 53/10-38/15

$$5 \frac { 3 } { 10 } - 3 \frac { 8 } { 15 }$$

Evaluate

$$\frac{53}{30}\approx 1.766666667$$

Solution Steps

Multiply 5 and 10 to get 50.

$$\frac{50+3}{10}-\frac{3\times 15+8}{15}$$

Add 50 and 3 to get 53.

$$\frac{53}{10}-\frac{3\times 15+8}{15}$$

Multiply 3 and 15 to get 45.

$$\frac{53}{10}-\frac{45+8}{15}$$

Add 45 and 8 to get 53.

$$\frac{53}{10}-\frac{53}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{53}{10} and \frac{53}{15} to fractions with denominator 30.

$$\frac{159}{30}-\frac{106}{30}$$

Since \frac{159}{30} and \frac{106}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{159-106}{30}$$

Subtract 106 from 159 to get 53.

$$\frac{53}{30}$$

Factor

$$\frac{53}{2 \cdot 3 \cdot 5} = 1\frac{23}{30} = 1.7666666666666666$$