Solve 4/7div8/21-6/11*22/25

$$\frac { 4 } { 7 } \div \frac { 8 } { 21 } - \frac { 6 } { 11 } \times \frac { 22 } { 25 }$$

Evaluate

$$\frac{51}{50}=1.02$$

Solution Steps

Divide \frac{4}{7} by \frac{8}{21} by multiplying \frac{4}{7} by the reciprocal of \frac{8}{21}.

$$\frac{4}{7}\times \frac{21}{8}-\frac{6}{11}\times \frac{22}{25}$$

Multiply \frac{4}{7} times \frac{21}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 21}{7\times 8}-\frac{6}{11}\times \frac{22}{25}$$

Do the multiplications in the fraction \frac{4\times 21}{7\times 8}.

$$\frac{84}{56}-\frac{6}{11}\times \frac{22}{25}$$

Reduce the fraction \frac{84}{56} to lowest terms by extracting and canceling out 28.

$$\frac{3}{2}-\frac{6}{11}\times \frac{22}{25}$$

Multiply \frac{6}{11} times \frac{22}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}-\frac{6\times 22}{11\times 25}$$

Do the multiplications in the fraction \frac{6\times 22}{11\times 25}.

$$\frac{3}{2}-\frac{132}{275}$$

Reduce the fraction \frac{132}{275} to lowest terms by extracting and canceling out 11.

$$\frac{3}{2}-\frac{12}{25}$$

Least common multiple of 2 and 25 is 50. Convert \frac{3}{2} and \frac{12}{25} to fractions with denominator 50.

$$\frac{75}{50}-\frac{24}{50}$$

Since \frac{75}{50} and \frac{24}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-24}{50}$$

Subtract 24 from 75 to get 51.

$$\frac{51}{50}$$

Factor

$$\frac{3 \cdot 17}{2 \cdot 5 ^ {2}} = 1\frac{1}{50} = 1.02$$