Solve (40/3div640/3)*100

$$( \frac { 40 } { 3 } \div \frac { 640 } { 3 } ) \times 100$$

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Divide \frac{40}{3} by \frac{640}{3} by multiplying \frac{40}{3} by the reciprocal of \frac{640}{3}.

$$\frac{40}{3}\times \frac{3}{640}\times 100$$

Multiply \frac{40}{3} times \frac{3}{640} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40\times 3}{3\times 640}\times 100$$

Cancel out 3 in both numerator and denominator.

$$\frac{40}{640}\times 100$$

Reduce the fraction \frac{40}{640} to lowest terms by extracting and canceling out 40.

$$\frac{1}{16}\times 100$$

Multiply \frac{1}{16} and 100 to get \frac{100}{16}.

$$\frac{100}{16}$$

Reduce the fraction \frac{100}{16} to lowest terms by extracting and canceling out 4.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$