Solve 71/4-47/10

$$7 \frac { 1 } { 4 } - 4 \frac { 7 } { 10 }$$

Evaluate

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

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+1}{4}-\frac{4\times 10+7}{10}$$

Add 28 and 1 to get 29.

$$\frac{29}{4}-\frac{4\times 10+7}{10}$$

Multiply 4 and 10 to get 40.

$$\frac{29}{4}-\frac{40+7}{10}$$

Add 40 and 7 to get 47.

$$\frac{29}{4}-\frac{47}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{29}{4} and \frac{47}{10} to fractions with denominator 20.

$$\frac{145}{20}-\frac{94}{20}$$

Since \frac{145}{20} and \frac{94}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{145-94}{20}$$

Subtract 94 from 145 to get 51.

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

Factor

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