Solve 63/10-33/4

$$6 \frac { 3 } { 10 } - 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{51}{20}=2.55$$

Solution Steps

Multiply 6 and 10 to get 60.

$$\frac{60+3}{10}-\frac{3\times 4+3}{4}$$

Add 60 and 3 to get 63.

$$\frac{63}{10}-\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{63}{10}-\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{63}{10}-\frac{15}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{63}{10} and \frac{15}{4} to fractions with denominator 20.

$$\frac{126}{20}-\frac{75}{20}$$

Since \frac{126}{20} and \frac{75}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{126-75}{20}$$

Subtract 75 from 126 to get 51.

$$\frac{51}{20}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {2} \cdot 5} = 2\frac{11}{20} = 2.55$$