Solve 47/10-19/20

$$4 \frac{ 7 }{ 10 } -1 \frac{ 9 }{ 20 }$$

Evaluate

$$\frac{13}{4}=3.25$$

Solution Steps

Multiply 4 and 10 to get 40.

$$\frac{40+7}{10}-\frac{1\times 20+9}{20}$$

Add 40 and 7 to get 47.

$$\frac{47}{10}-\frac{1\times 20+9}{20}$$

Multiply 1 and 20 to get 20.

$$\frac{47}{10}-\frac{20+9}{20}$$

Add 20 and 9 to get 29.

$$\frac{47}{10}-\frac{29}{20}$$

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

$$\frac{94}{20}-\frac{29}{20}$$

Since \frac{94}{20} and \frac{29}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{94-29}{20}$$

Subtract 29 from 94 to get 65.

$$\frac{65}{20}$$

Reduce the fraction \frac{65}{20} to lowest terms by extracting and canceling out 5.

$$\frac{13}{4}$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$