Solve 82/11*3/10*11/21=?

$$8 \frac { 2 } { 11 } \times \frac { 3 } { 10 } \times \frac { 11 } { 21 } = ?$$

Evaluate

$$\frac{9}{7}\approx 1.285714286$$

Solution Steps

Multiply 8 and 11 to get 88.

$$\frac{88+2}{11}\times \frac{3}{10}\times \frac{11}{21}$$

Add 88 and 2 to get 90.

$$\frac{90}{11}\times \frac{3}{10}\times \frac{11}{21}$$

Multiply \frac{90}{11} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{90\times 3}{11\times 10}\times \frac{11}{21}$$

Do the multiplications in the fraction \frac{90\times 3}{11\times 10}.

$$\frac{270}{110}\times \frac{11}{21}$$

Reduce the fraction \frac{270}{110} to lowest terms by extracting and canceling out 10.

$$\frac{27}{11}\times \frac{11}{21}$$

Multiply \frac{27}{11} times \frac{11}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 11}{11\times 21}$$

Cancel out 11 in both numerator and denominator.

$$\frac{27}{21}$$

Reduce the fraction \frac{27}{21} to lowest terms by extracting and canceling out 3.

$$\frac{9}{7}$$

Factor

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858$$