Solve 32/6-45/7=

$$\frac { 32 } { 6 } - 4 \frac { 5 } { 7 } =$$

Evaluate

$$\frac{13}{21}\approx 0.619047619$$

Solution Steps

Reduce the fraction \frac{32}{6} to lowest terms by extracting and canceling out 2.

$$\frac{16}{3}-\frac{4\times 7+5}{7}$$

Multiply 4 and 7 to get 28.

$$\frac{16}{3}-\frac{28+5}{7}$$

Add 28 and 5 to get 33.

$$\frac{16}{3}-\frac{33}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{16}{3} and \frac{33}{7} to fractions with denominator 21.

$$\frac{112}{21}-\frac{99}{21}$$

Since \frac{112}{21} and \frac{99}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-99}{21}$$

Subtract 99 from 112 to get 13.

$$\frac{13}{21}$$

Factor

$$\frac{13}{3 \cdot 7} = 0.6190476190476191$$