Solve 4/7*(3.5div2/3)

$$\frac { 4 } { 7 } \times ( 3.5 \div \frac { 2 } { 3 } )$$

Evaluate

$$3$$

Solution Steps

Divide 3.5 by \frac{2}{3} by multiplying 3.5 by the reciprocal of \frac{2}{3}.

$$\frac{4}{7}\times 3.5\times \frac{3}{2}$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{4}{7}\times \frac{7}{2}\times \frac{3}{2}$$

Multiply \frac{7}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{7}\times \frac{7\times 3}{2\times 2}$$

Do the multiplications in the fraction \frac{7\times 3}{2\times 2}.

$$\frac{4}{7}\times \frac{21}{4}$$

Multiply \frac{4}{7} times \frac{21}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 21}{7\times 4}$$

Cancel out 4 in both numerator and denominator.

$$\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$3$$

Factor

$$3$$