Solve 3.33/frac{3{10}}

$$\frac{ 3.33 }{ \frac{ 3 }{ 10 } }$$

Evaluate

$$11.1$$

Solution Steps

Divide 3.33 by \frac{3}{10} by multiplying 3.33 by the reciprocal of \frac{3}{10}.

$$3.33\times \frac{10}{3}$$

Convert decimal number 3.33 to fraction \frac{333}{100}.

$$\frac{333}{100}\times \frac{10}{3}$$

Multiply \frac{333}{100} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{333\times 10}{100\times 3}$$

Do the multiplications in the fraction \frac{333\times 10}{100\times 3}.

$$\frac{3330}{300}$$

Reduce the fraction \frac{3330}{300} to lowest terms by extracting and canceling out 30.

$$\frac{111}{10}$$

Factor

$$\frac{3 \cdot 37}{2 \cdot 5} = 11\frac{1}{10} = 11.1$$