Solve 3,75:2/3=

$$3,75 : \frac { 2 } { 3 } =$$

Evaluate

$$5,625$$

Solution Steps

Divide 3,75 by \frac{2}{3} by multiplying 3,75 by the reciprocal of \frac{2}{3}.

$$3,75\times \frac{3}{2}$$

Convert decimal number 3,75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{15}{4}\times \frac{3}{2}$$

Multiply \frac{15}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 3}{4\times 2}$$

Do the multiplications in the fraction \frac{15\times 3}{4\times 2}.

$$\frac{45}{8}$$

Factor

$$\frac{5 \cdot 3 ^ {2}}{2 ^ {3}} = 5\frac{5}{8} = 5.625$$