Solve 21/10*8/9*5/8*1/21divfrac{1}{9}

$$2 \frac { 1 } { 10 } \times \frac { 8 } { 9 } \times \frac { 5 } { 8 } \times \frac { 1 } { 21 } \div \frac { 1 } { 9 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply 2 and 10 to get 20.

$$\frac{\frac{20+1}{10}\times \frac{8}{9}\times \frac{5}{8}\times \frac{1}{21}}{\frac{1}{9}}$$

Add 20 and 1 to get 21.

$$\frac{\frac{21}{10}\times \frac{8}{9}\times \frac{5}{8}\times \frac{1}{21}}{\frac{1}{9}}$$

Multiply \frac{21}{10} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{21\times 8}{10\times 9}\times \frac{5}{8}\times \frac{1}{21}}{\frac{1}{9}}$$

Do the multiplications in the fraction \frac{21\times 8}{10\times 9}.

$$\frac{\frac{168}{90}\times \frac{5}{8}\times \frac{1}{21}}{\frac{1}{9}}$$

Reduce the fraction \frac{168}{90} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{28}{15}\times \frac{5}{8}\times \frac{1}{21}}{\frac{1}{9}}$$

Multiply \frac{28}{15} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{28\times 5}{15\times 8}\times \frac{1}{21}}{\frac{1}{9}}$$

Do the multiplications in the fraction \frac{28\times 5}{15\times 8}.

$$\frac{\frac{140}{120}\times \frac{1}{21}}{\frac{1}{9}}$$

Reduce the fraction \frac{140}{120} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{7}{6}\times \frac{1}{21}}{\frac{1}{9}}$$

Multiply \frac{7}{6} times \frac{1}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7\times 1}{6\times 21}}{\frac{1}{9}}$$

Do the multiplications in the fraction \frac{7\times 1}{6\times 21}.

$$\frac{\frac{7}{126}}{\frac{1}{9}}$$

Reduce the fraction \frac{7}{126} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{1}{18}}{\frac{1}{9}}$$

Divide \frac{1}{18} by \frac{1}{9} by multiplying \frac{1}{18} by the reciprocal of \frac{1}{9}.

$$\frac{1}{18}\times 9$$

Multiply \frac{1}{18} and 9 to get \frac{9}{18}.

$$\frac{9}{18}$$

Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$