Solve 62/5-(0.15+42/3)

$$6 \frac { 2 } { 5 } - ( 0.15 + 4 \frac { 2 } { 3 } )$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+2}{5}-\left(0.15+\frac{4\times 3+2}{3}\right)$$

Add 30 and 2 to get 32.

$$\frac{32}{5}-\left(0.15+\frac{4\times 3+2}{3}\right)$$

Multiply 4 and 3 to get 12.

$$\frac{32}{5}-\left(0.15+\frac{12+2}{3}\right)$$

Add 12 and 2 to get 14.

$$\frac{32}{5}-\left(0.15+\frac{14}{3}\right)$$

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{32}{5}-\left(\frac{3}{20}+\frac{14}{3}\right)$$

Least common multiple of 20 and 3 is 60. Convert \frac{3}{20} and \frac{14}{3} to fractions with denominator 60.

$$\frac{32}{5}-\left(\frac{9}{60}+\frac{280}{60}\right)$$

Since \frac{9}{60} and \frac{280}{60} have the same denominator, add them by adding their numerators.

$$\frac{32}{5}-\frac{9+280}{60}$$

Add 9 and 280 to get 289.

$$\frac{32}{5}-\frac{289}{60}$$

Least common multiple of 5 and 60 is 60. Convert \frac{32}{5} and \frac{289}{60} to fractions with denominator 60.

$$\frac{384}{60}-\frac{289}{60}$$

Since \frac{384}{60} and \frac{289}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{384-289}{60}$$

Subtract 289 from 384 to get 95.

$$\frac{95}{60}$$

Reduce the fraction \frac{95}{60} to lowest terms by extracting and canceling out 5.

$$\frac{19}{12}$$

Factor

$$\frac{19}{3 \cdot 2 ^ {2}} = 1\frac{7}{12} = 1.5833333333333333$$