Solve 17/4-26/15

$$1 \frac { 7 } { 4 } - 2 \frac { 6 } { 15 }$$

Evaluate

$$\frac{7}{20}=0.35$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+7}{4}-\frac{2\times 15+6}{15}$$

Add 4 and 7 to get 11.

$$\frac{11}{4}-\frac{2\times 15+6}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{11}{4}-\frac{30+6}{15}$$

Add 30 and 6 to get 36.

$$\frac{11}{4}-\frac{36}{15}$$

Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.

$$\frac{11}{4}-\frac{12}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{11}{4} and \frac{12}{5} to fractions with denominator 20.

$$\frac{55}{20}-\frac{48}{20}$$

Since \frac{55}{20} and \frac{48}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-48}{20}$$

Subtract 48 from 55 to get 7.

$$\frac{7}{20}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 5} = 0.35$$