Solve 12/10+23/4=

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

Evaluate

$$\frac{79}{20}=3.95$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{10+2}{10}+\frac{2\times 4+3}{4}$$

Add 10 and 2 to get 12.

$$\frac{12}{10}+\frac{2\times 4+3}{4}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{6}{5}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{6}{5}+\frac{11}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{6}{5} and \frac{11}{4} to fractions with denominator 20.

$$\frac{24}{20}+\frac{55}{20}$$

Since \frac{24}{20} and \frac{55}{20} have the same denominator, add them by adding their numerators.

$$\frac{24+55}{20}$$

Add 24 and 55 to get 79.

$$\frac{79}{20}$$

Factor

$$\frac{79}{2 ^ {2} \cdot 5} = 3\frac{19}{20} = 3.95$$