Solve 8.25/11*frac{1{8}}

$$\frac{ 8.25 }{ 11 \times \frac{ 1 }{ 8 } }$$

Evaluate

$$6$$

Solution Steps

Multiply 11 and \frac{1}{8} to get \frac{11}{8}.

$$\frac{8.25}{\frac{11}{8}}$$

Divide 8.25 by \frac{11}{8} by multiplying 8.25 by the reciprocal of \frac{11}{8}.

$$8.25\times \frac{8}{11}$$

Convert decimal number 8.25 to fraction \frac{825}{100}. Reduce the fraction \frac{825}{100} to lowest terms by extracting and canceling out 25.

$$\frac{33}{4}\times \frac{8}{11}$$

Multiply \frac{33}{4} times \frac{8}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 8}{4\times 11}$$

Do the multiplications in the fraction \frac{33\times 8}{4\times 11}.

$$\frac{264}{44}$$

Divide 264 by 44 to get 6.

$$6$$

Factor

$$2\times 3$$