Solve 2.5div3/10

$$2.5 \div \frac{ 3 }{ 10 }$$

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Divide 2.5 by \frac{3}{10} by multiplying 2.5 by the reciprocal of \frac{3}{10}.

$$2.5\times \frac{10}{3}$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}\times \frac{10}{3}$$

Multiply \frac{5}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 10}{2\times 3}$$

Do the multiplications in the fraction \frac{5\times 10}{2\times 3}.

$$\frac{50}{6}$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$