Solve 0.35div7/3+2

$$0.35 \div \frac{ 7 }{ 3 } +2$$

Evaluate

$$2.15$$

Solution Steps

Divide 0.35 by \frac{7}{3} by multiplying 0.35 by the reciprocal of \frac{7}{3}.

$$0.35\times \frac{3}{7}+2$$

Convert decimal number 0.35 to fraction \frac{35}{100}. Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{7}{20}\times \frac{3}{7}+2$$

Multiply \frac{7}{20} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{20\times 7}+2$$

Cancel out 7 in both numerator and denominator.

$$\frac{3}{20}+2$$

Convert 2 to fraction \frac{40}{20}.

$$\frac{3}{20}+\frac{40}{20}$$

Since \frac{3}{20} and \frac{40}{20} have the same denominator, add them by adding their numerators.

$$\frac{3+40}{20}$$

Add 3 and 40 to get 43.

$$\frac{43}{20}$$

Factor

$$\frac{43}{5 \cdot 2 ^ {2}} = 2\frac{3}{20} = 2.15$$