Solve 212/3-41/5

$$21 \frac { 2 } { 3 } - 4 \frac { 1 } { 5 }$$

Evaluate

$$\frac{262}{15}\approx 17.466666667$$

Solution Steps

Multiply 21 and 3 to get 63.

$$\frac{63+2}{3}-\frac{4\times 5+1}{5}$$

Add 63 and 2 to get 65.

$$\frac{65}{3}-\frac{4\times 5+1}{5}$$

Multiply 4 and 5 to get 20.

$$\frac{65}{3}-\frac{20+1}{5}$$

Add 20 and 1 to get 21.

$$\frac{65}{3}-\frac{21}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{65}{3} and \frac{21}{5} to fractions with denominator 15.

$$\frac{325}{15}-\frac{63}{15}$$

Since \frac{325}{15} and \frac{63}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{325-63}{15}$$

Subtract 63 from 325 to get 262.

$$\frac{262}{15}$$

Factor

$$\frac{2 \cdot 131}{3 \cdot 5} = 17\frac{7}{15} = 17.466666666666665$$