Solve 5*55/3-57/50*5

$$5 \times 5 \frac { 5 } { 3 } - \frac { 57 } { 50 } \times 5$$

Evaluate

$$\frac{829}{30}\approx 27.633333333$$

Solution Steps

Multiply 5 and 3 to get 15.

$$5\times \frac{15+5}{3}-\frac{57}{50}\times 5$$

Add 15 and 5 to get 20.

$$5\times \frac{20}{3}-\frac{57}{50}\times 5$$

Express 5\times \frac{20}{3} as a single fraction.

$$\frac{5\times 20}{3}-\frac{57}{50}\times 5$$

Multiply 5 and 20 to get 100.

$$\frac{100}{3}-\frac{57}{50}\times 5$$

Express \frac{57}{50}\times 5 as a single fraction.

$$\frac{100}{3}-\frac{57\times 5}{50}$$

Multiply 57 and 5 to get 285.

$$\frac{100}{3}-\frac{285}{50}$$

Reduce the fraction \frac{285}{50} to lowest terms by extracting and canceling out 5.

$$\frac{100}{3}-\frac{57}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{100}{3} and \frac{57}{10} to fractions with denominator 30.

$$\frac{1000}{30}-\frac{171}{30}$$

Since \frac{1000}{30} and \frac{171}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1000-171}{30}$$

Subtract 171 from 1000 to get 829.

$$\frac{829}{30}$$

Factor

$$\frac{829}{2 \cdot 3 \cdot 5} = 27\frac{19}{30} = 27.633333333333333$$