Solve 91/3-5/7-42/6=

$$9 \frac { 1 } { 3 } - \frac { 5 } { 7 } - 4 \frac { 2 } { 6 } =$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{27+1}{3}-\frac{5}{7}-\frac{4\times 6+2}{6}$$

Add 27 and 1 to get 28.

$$\frac{28}{3}-\frac{5}{7}-\frac{4\times 6+2}{6}$$

Least common multiple of 3 and 7 is 21. Convert \frac{28}{3} and \frac{5}{7} to fractions with denominator 21.

$$\frac{196}{21}-\frac{15}{21}-\frac{4\times 6+2}{6}$$

Since \frac{196}{21} and \frac{15}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{196-15}{21}-\frac{4\times 6+2}{6}$$

Subtract 15 from 196 to get 181.

$$\frac{181}{21}-\frac{4\times 6+2}{6}$$

Multiply 4 and 6 to get 24.

$$\frac{181}{21}-\frac{24+2}{6}$$

Add 24 and 2 to get 26.

$$\frac{181}{21}-\frac{26}{6}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$\frac{181}{21}-\frac{13}{3}$$

Least common multiple of 21 and 3 is 21. Convert \frac{181}{21} and \frac{13}{3} to fractions with denominator 21.

$$\frac{181}{21}-\frac{91}{21}$$

Since \frac{181}{21} and \frac{91}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{181-91}{21}$$

Subtract 91 from 181 to get 90.

$$\frac{90}{21}$$

Reduce the fraction \frac{90}{21} to lowest terms by extracting and canceling out 3.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$