Solve 17.22/81/6=

$$17.2 \frac { 2 } { 8 } \frac { 1 } { 6 } =$$

Evaluate

$$\frac{349}{120}\approx 2.908333333$$

Solution Steps

Multiply 17.2 and 8 to get 137.6.

$$\frac{137.6+2}{8}\times \frac{1}{6}$$

Add 137.6 and 2 to get 139.6.

$$\frac{139.6}{8}\times \frac{1}{6}$$

Expand \frac{139.6}{8} by multiplying both numerator and the denominator by 10.

$$\frac{1396}{80}\times \frac{1}{6}$$

Reduce the fraction \frac{1396}{80} to lowest terms by extracting and canceling out 4.

$$\frac{349}{20}\times \frac{1}{6}$$

Multiply \frac{349}{20} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{349\times 1}{20\times 6}$$

Do the multiplications in the fraction \frac{349\times 1}{20\times 6}.

$$\frac{349}{120}$$

Factor

$$\frac{349}{3 \cdot 5 \cdot 2 ^ {3}} = 2\frac{109}{120} = 2.908333333333333$$