Solve 4/5-1/3+0.6

$$\frac { 4 } { 5 } - \frac { 1 } { 3 } + 0.6$$

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{4}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{12}{15}-\frac{5}{15}+0.6$$

Since \frac{12}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{15}+0.6$$

Subtract 5 from 12 to get 7.

$$\frac{7}{15}+0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}+\frac{3}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{7}{15} and \frac{3}{5} to fractions with denominator 15.

$$\frac{7}{15}+\frac{9}{15}$$

Since \frac{7}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.

$$\frac{7+9}{15}$$

Add 7 and 9 to get 16.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$