Solve 14.101/3div1/6

$$14.10 \frac { 1 } { 3 } \div \frac { 1 } { 6 }$$

Evaluate

$$86.6$$

Solution Steps

Divide \frac{14.1\times 3+1}{3} by \frac{1}{6} by multiplying \frac{14.1\times 3+1}{3} by the reciprocal of \frac{1}{6}.

$$\frac{\left(14.1\times 3+1\right)\times 6}{3}$$

Multiply 14.1 and 3 to get 42.3.

$$\frac{\left(42.3+1\right)\times 6}{3}$$

Add 42.3 and 1 to get 43.3.

$$\frac{43.3\times 6}{3}$$

Multiply 43.3 and 6 to get 259.8.

$$\frac{259.8}{3}$$

Expand \frac{259.8}{3} by multiplying both numerator and the denominator by 10.

$$\frac{2598}{30}$$

Reduce the fraction \frac{2598}{30} to lowest terms by extracting and canceling out 6.

$$\frac{433}{5}$$

Factor

$$\frac{433}{5} = 86\frac{3}{5} = 86.6$$