Solve 31/4-7/10+2=

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

Evaluate

$$\frac{91}{20}=4.55$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}-\frac{7}{10}+2$$

Add 12 and 1 to get 13.

$$\frac{13}{4}-\frac{7}{10}+2$$

Least common multiple of 4 and 10 is 20. Convert \frac{13}{4} and \frac{7}{10} to fractions with denominator 20.

$$\frac{65}{20}-\frac{14}{20}+2$$

Since \frac{65}{20} and \frac{14}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-14}{20}+2$$

Subtract 14 from 65 to get 51.

$$\frac{51}{20}+2$$

Convert 2 to fraction \frac{40}{20}.

$$\frac{51}{20}+\frac{40}{20}$$

Since \frac{51}{20} and \frac{40}{20} have the same denominator, add them by adding their numerators.

$$\frac{51+40}{20}$$

Add 51 and 40 to get 91.

$$\frac{91}{20}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 5} = 4\frac{11}{20} = 4.55$$