Solve 1.07div3.55%1.07

$$1.07 \div 3.55 \% 1.07$$

Evaluate

$$\frac{11449}{355}\approx 32.250704225$$

Solution Steps

Divide 1.07 by \frac{3.55}{100} by multiplying 1.07 by the reciprocal of \frac{3.55}{100}.

$$\frac{1.07\times 100}{3.55}\times 1.07$$

Multiply 1.07 and 100 to get 107.

$$\frac{107}{3.55}\times 1.07$$

Expand \frac{107}{3.55} by multiplying both numerator and the denominator by 100.

$$\frac{10700}{355}\times 1.07$$

Reduce the fraction \frac{10700}{355} to lowest terms by extracting and canceling out 5.

$$\frac{2140}{71}\times 1.07$$

Convert decimal number 1.07 to fraction \frac{107}{100}.

$$\frac{2140}{71}\times \frac{107}{100}$$

Multiply \frac{2140}{71} times \frac{107}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2140\times 107}{71\times 100}$$

Do the multiplications in the fraction \frac{2140\times 107}{71\times 100}.

$$\frac{228980}{7100}$$

Reduce the fraction \frac{228980}{7100} to lowest terms by extracting and canceling out 20.

$$\frac{11449}{355}$$

Factor

$$\frac{107 ^ {2}}{5 \cdot 71} = 32\frac{89}{355} = 32.25070422535211$$