Solve 284/5-37/10-24/10

$$28 \frac { 4 } { 5 } - 3 \frac { 7 } { 10 } - 2 \frac { 4 } { 10 }$$

Evaluate

$$\frac{227}{10}=22.7$$

Solution Steps

Multiply 28 and 5 to get 140.

$$\frac{140+4}{5}-\frac{3\times 10+7}{10}-\frac{2\times 10+4}{10}$$

Add 140 and 4 to get 144.

$$\frac{144}{5}-\frac{3\times 10+7}{10}-\frac{2\times 10+4}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{144}{5}-\frac{30+7}{10}-\frac{2\times 10+4}{10}$$

Add 30 and 7 to get 37.

$$\frac{144}{5}-\frac{37}{10}-\frac{2\times 10+4}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{144}{5} and \frac{37}{10} to fractions with denominator 10.

$$\frac{288}{10}-\frac{37}{10}-\frac{2\times 10+4}{10}$$

Since \frac{288}{10} and \frac{37}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{288-37}{10}-\frac{2\times 10+4}{10}$$

Subtract 37 from 288 to get 251.

$$\frac{251}{10}-\frac{2\times 10+4}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{251}{10}-\frac{20+4}{10}$$

Add 20 and 4 to get 24.

$$\frac{251}{10}-\frac{24}{10}$$

Since \frac{251}{10} and \frac{24}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{251-24}{10}$$

Subtract 24 from 251 to get 227.

$$\frac{227}{10}$$

Factor

$$\frac{227}{2 \cdot 5} = 22\frac{7}{10} = 22.7$$