Solve 3.5div3/10*4/3

$$3.5 \div \frac { 3 } { 10 } \cdot \frac { 4 } { 3 }$$

Evaluate

$$\frac{140}{9}\approx 15.555555556$$

Solution Steps

Divide 3.5 by \frac{3}{10} by multiplying 3.5 by the reciprocal of \frac{3}{10}.

$$3.5\times \frac{10}{3}\times \frac{4}{3}$$

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.

$$\frac{7}{2}\times \frac{10}{3}\times \frac{4}{3}$$

Multiply \frac{7}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 10}{2\times 3}\times \frac{4}{3}$$

Do the multiplications in the fraction \frac{7\times 10}{2\times 3}.

$$\frac{70}{6}\times \frac{4}{3}$$

Reduce the fraction \frac{70}{6} to lowest terms by extracting and canceling out 2.

$$\frac{35}{3}\times \frac{4}{3}$$

Multiply \frac{35}{3} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 4}{3\times 3}$$

Do the multiplications in the fraction \frac{35\times 4}{3\times 3}.

$$\frac{140}{9}$$

Factor

$$\frac{5 \cdot 7 \cdot 2 ^ {2}}{3 ^ {2}} = 15\frac{5}{9} = 15.555555555555555$$