Solve 34.87+35.034-34.87/2

$$34.87+ \frac{ 35.034-34.87 }{ 2 }$$

Evaluate

$$34.952$$

Solution Steps

Subtract 34.87 from 35.034 to get 0.164.

$$34.87+\frac{0.164}{2}$$

Expand \frac{0.164}{2} by multiplying both numerator and the denominator by 1000.

$$34.87+\frac{164}{2000}$$

Reduce the fraction \frac{164}{2000} to lowest terms by extracting and canceling out 4.

$$34.87+\frac{41}{500}$$

Convert decimal number 34.87 to fraction \frac{3487}{100}.

$$\frac{3487}{100}+\frac{41}{500}$$

Least common multiple of 100 and 500 is 500. Convert \frac{3487}{100} and \frac{41}{500} to fractions with denominator 500.

$$\frac{17435}{500}+\frac{41}{500}$$

Since \frac{17435}{500} and \frac{41}{500} have the same denominator, add them by adding their numerators.

$$\frac{17435+41}{500}$$

Add 17435 and 41 to get 17476.

$$\frac{17476}{500}$$

Reduce the fraction \frac{17476}{500} to lowest terms by extracting and canceling out 4.

$$\frac{4369}{125}$$

Factor

$$\frac{17 \cdot 257}{5 ^ {3}} = 34\frac{119}{125} = 34.952$$