Solve 72/3-41/5

$$7 \frac { 2 } { 3 } - 4 \frac { 1 } { 5 }$$

Evaluate

$$\frac{52}{15}\approx 3.466666667$$

Solution Steps

Multiply 7 and 3 to get 21.

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

Add 21 and 2 to get 23.

$$\frac{23}{3}-\frac{4\times 5+1}{5}$$

Multiply 4 and 5 to get 20.

$$\frac{23}{3}-\frac{20+1}{5}$$

Add 20 and 1 to get 21.

$$\frac{23}{3}-\frac{21}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{23}{3} and \frac{21}{5} to fractions with denominator 15.

$$\frac{115}{15}-\frac{63}{15}$$

Since \frac{115}{15} and \frac{63}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-63}{15}$$

Subtract 63 from 115 to get 52.

$$\frac{52}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 13}{3 \cdot 5} = 3\frac{7}{15} = 3.466666666666667$$