Solve (1)12/10+4/15

$$( 1 ) 1 \frac { 2 } { 10 } + \frac { 4 } { 15 }$$

Evaluate

$$\frac{22}{15}\approx 1.466666667$$

Solution Steps

Multiply 1 and 10 to get 10.

$$1\times \frac{10+2}{10}+\frac{4}{15}$$

Add 10 and 2 to get 12.

$$1\times \frac{12}{10}+\frac{4}{15}$$

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

$$1\times \frac{6}{5}+\frac{4}{15}$$

Multiply 1 and \frac{6}{5} to get \frac{6}{5}.

$$\frac{6}{5}+\frac{4}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{6}{5} and \frac{4}{15} to fractions with denominator 15.

$$\frac{18}{15}+\frac{4}{15}$$

Since \frac{18}{15} and \frac{4}{15} have the same denominator, add them by adding their numerators.

$$\frac{18+4}{15}$$

Add 18 and 4 to get 22.

$$\frac{22}{15}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$