Solve 1/2*2.34-1/2*1.73

$$\frac { 1 } { 2 } \times 2.34 - \frac { 1 } { 2 } \times 1.73$$

Evaluate

$$0.305$$

Solution Steps

Convert decimal number 2.34 to fraction \frac{234}{100}. Reduce the fraction \frac{234}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{117}{50}-\frac{1}{2}\times 1.73$$

Multiply \frac{1}{2} times \frac{117}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 117}{2\times 50}-\frac{1}{2}\times 1.73$$

Do the multiplications in the fraction \frac{1\times 117}{2\times 50}.

$$\frac{117}{100}-\frac{1}{2}\times 1.73$$

Convert decimal number 1.73 to fraction \frac{173}{100}.

$$\frac{117}{100}-\frac{1}{2}\times \frac{173}{100}$$

Multiply \frac{1}{2} times \frac{173}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{117}{100}-\frac{1\times 173}{2\times 100}$$

Do the multiplications in the fraction \frac{1\times 173}{2\times 100}.

$$\frac{117}{100}-\frac{173}{200}$$

Least common multiple of 100 and 200 is 200. Convert \frac{117}{100} and \frac{173}{200} to fractions with denominator 200.

$$\frac{234}{200}-\frac{173}{200}$$

Since \frac{234}{200} and \frac{173}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{234-173}{200}$$

Subtract 173 from 234 to get 61.

$$\frac{61}{200}$$

Factor

$$\frac{61}{2 ^ {3} \cdot 5 ^ {2}} = 0.305$$