Solve 34.95+1.427*0.082/2.326

$$34.95+1.427 \times \frac{ 0.082 }{ 2.326 }$$

Evaluate

$$\frac{40705357}{1163000}\approx 35.000306965$$

Solution Steps

Expand \frac{0.082}{2.326} by multiplying both numerator and the denominator by 1000.

$$34.95+1.427\times \frac{82}{2326}$$

Reduce the fraction \frac{82}{2326} to lowest terms by extracting and canceling out 2.

$$34.95+1.427\times \frac{41}{1163}$$

Convert decimal number 1.427 to fraction \frac{1427}{1000}.

$$34.95+\frac{1427}{1000}\times \frac{41}{1163}$$

Multiply \frac{1427}{1000} times \frac{41}{1163} by multiplying numerator times numerator and denominator times denominator.

$$34.95+\frac{1427\times 41}{1000\times 1163}$$

Do the multiplications in the fraction \frac{1427\times 41}{1000\times 1163}.

$$34.95+\frac{58507}{1163000}$$

Convert decimal number 34.95 to fraction \frac{3495}{100}. Reduce the fraction \frac{3495}{100} to lowest terms by extracting and canceling out 5.

$$\frac{699}{20}+\frac{58507}{1163000}$$

Least common multiple of 20 and 1163000 is 1163000. Convert \frac{699}{20} and \frac{58507}{1163000} to fractions with denominator 1163000.

$$\frac{40646850}{1163000}+\frac{58507}{1163000}$$

Since \frac{40646850}{1163000} and \frac{58507}{1163000} have the same denominator, add them by adding their numerators.

$$\frac{40646850+58507}{1163000}$$

Add 40646850 and 58507 to get 40705357.

$$\frac{40705357}{1163000}$$

Factor

$$\frac{7 \cdot 11 \cdot 29 \cdot 18229}{1163 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 35\frac{357}{1163000} = 35.00030696474634$$