Solve 3.10*1/98.09*2/2*40.00/1

$$3.10 \times \frac { 1 } { 98.09 } \times \frac { 2 } { 2 } \times \frac { 40.00 } { 1 }$$

Evaluate

$$\frac{12400}{9809}\approx 1.264145173$$

Solution Steps

Divide 2 by 2 to get 1.

$$3.1\times \frac{1}{98.09}\times 1\times \frac{40}{1}$$

Expand \frac{1}{98.09} by multiplying both numerator and the denominator by 100.

$$3.1\times \frac{100}{9809}\times 1\times \frac{40}{1}$$

Convert decimal number 3.1 to fraction \frac{31}{10}.

$$\frac{31}{10}\times \frac{100}{9809}\times 1\times \frac{40}{1}$$

Multiply \frac{31}{10} times \frac{100}{9809} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 100}{10\times 9809}\times 1\times \frac{40}{1}$$

Do the multiplications in the fraction \frac{31\times 100}{10\times 9809}.

$$\frac{3100}{98090}\times 1\times \frac{40}{1}$$

Reduce the fraction \frac{3100}{98090} to lowest terms by extracting and canceling out 10.

$$\frac{310}{9809}\times 1\times \frac{40}{1}$$

Multiply \frac{310}{9809} and 1 to get \frac{310}{9809}.

$$\frac{310}{9809}\times \frac{40}{1}$$

Anything divided by one gives itself.

$$\frac{310}{9809}\times 40$$

Express \frac{310}{9809}\times 40 as a single fraction.

$$\frac{310\times 40}{9809}$$

Multiply 310 and 40 to get 12400.

$$\frac{12400}{9809}$$

Factor

$$\frac{31 \cdot 2 ^ {4} \cdot 5 ^ {2}}{17 \cdot 577} = 1\frac{2591}{9809} = 1.2641451728004893$$