Solve 71/4+27/10-63/200

$$7 \frac { 1 } { 4 } + 2 \frac { 7 } { 10 } - 6 \frac { 3 } { 200 }$$

Evaluate

$$\frac{787}{200}=3.935$$

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+1}{4}+\frac{2\times 10+7}{10}-\frac{6\times 200+3}{200}$$

Add 28 and 1 to get 29.

$$\frac{29}{4}+\frac{2\times 10+7}{10}-\frac{6\times 200+3}{200}$$

Multiply 2 and 10 to get 20.

$$\frac{29}{4}+\frac{20+7}{10}-\frac{6\times 200+3}{200}$$

Add 20 and 7 to get 27.

$$\frac{29}{4}+\frac{27}{10}-\frac{6\times 200+3}{200}$$

Least common multiple of 4 and 10 is 20. Convert \frac{29}{4} and \frac{27}{10} to fractions with denominator 20.

$$\frac{145}{20}+\frac{54}{20}-\frac{6\times 200+3}{200}$$

Since \frac{145}{20} and \frac{54}{20} have the same denominator, add them by adding their numerators.

$$\frac{145+54}{20}-\frac{6\times 200+3}{200}$$

Add 145 and 54 to get 199.

$$\frac{199}{20}-\frac{6\times 200+3}{200}$$

Multiply 6 and 200 to get 1200.

$$\frac{199}{20}-\frac{1200+3}{200}$$

Add 1200 and 3 to get 1203.

$$\frac{199}{20}-\frac{1203}{200}$$

Least common multiple of 20 and 200 is 200. Convert \frac{199}{20} and \frac{1203}{200} to fractions with denominator 200.

$$\frac{1990}{200}-\frac{1203}{200}$$

Since \frac{1990}{200} and \frac{1203}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1990-1203}{200}$$

Subtract 1203 from 1990 to get 787.

$$\frac{787}{200}$$

Factor

$$\frac{787}{2 ^ {3} \cdot 5 ^ {2}} = 3\frac{187}{200} = 3.935$$