Solve 6/11*0.88-4/7div8/21

$$\frac { 6 } { 11 } \times 0.88 - \frac { 4 } { 7 } \div \frac { 8 } { 21 }$$

Evaluate

$$-1.02$$

Solution Steps

Convert decimal number 0.88 to fraction \frac{88}{100}. Reduce the fraction \frac{88}{100} to lowest terms by extracting and canceling out 4.

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

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

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

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

$$\frac{132}{275}-\frac{\frac{4}{7}}{\frac{8}{21}}$$

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

$$\frac{12}{25}-\frac{\frac{4}{7}}{\frac{8}{21}}$$

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

$$\frac{12}{25}-\frac{4}{7}\times \frac{21}{8}$$

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

$$\frac{12}{25}-\frac{4\times 21}{7\times 8}$$

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

$$\frac{12}{25}-\frac{84}{56}$$

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

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

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

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

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

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

Subtract 75 from 24 to get -51.

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

Factor

$$-1.02$$