Solve 34/5-35/8151/20

$$\frac { 34 } { 5 } - \frac { 35 } { 8 } \frac { 151 } { 20 }$$

Evaluate

$$-\frac{4197}{160}=-26.23125$$

Solution Steps

Multiply \frac{35}{8} times \frac{151}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{34}{5}-\frac{35\times 151}{8\times 20}$$

Do the multiplications in the fraction \frac{35\times 151}{8\times 20}.

$$\frac{34}{5}-\frac{5285}{160}$$

Reduce the fraction \frac{5285}{160} to lowest terms by extracting and canceling out 5.

$$\frac{34}{5}-\frac{1057}{32}$$

Least common multiple of 5 and 32 is 160. Convert \frac{34}{5} and \frac{1057}{32} to fractions with denominator 160.

$$\frac{1088}{160}-\frac{5285}{160}$$

Since \frac{1088}{160} and \frac{5285}{160} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1088-5285}{160}$$

Subtract 5285 from 1088 to get -4197.

$$-\frac{4197}{160}$$

Factor

$$-\frac{4197}{160} = -26\frac{37}{160} = -26.23125$$