Solve 48.75+-1/2*48.75+25

$$48.75 + - \frac { 1 } { 2 } \times 48.75 + 25$$

Evaluate

$$49.375$$

Solution Steps

Convert decimal number 48.75 to fraction \frac{4875}{100}. Reduce the fraction \frac{4875}{100} to lowest terms by extracting and canceling out 25.

$$48.75-\frac{1}{2}\times \frac{195}{4}+25$$

Multiply -\frac{1}{2} times \frac{195}{4} by multiplying numerator times numerator and denominator times denominator.

$$48.75+\frac{-195}{2\times 4}+25$$

Do the multiplications in the fraction \frac{-195}{2\times 4}.

$$48.75+\frac{-195}{8}+25$$

Fraction \frac{-195}{8} can be rewritten as -\frac{195}{8} by extracting the negative sign.

$$48.75-\frac{195}{8}+25$$

Convert decimal number 48.75 to fraction \frac{4875}{100}. Reduce the fraction \frac{4875}{100} to lowest terms by extracting and canceling out 25.

$$\frac{195}{4}-\frac{195}{8}+25$$

Least common multiple of 4 and 8 is 8. Convert \frac{195}{4} and \frac{195}{8} to fractions with denominator 8.

$$\frac{390}{8}-\frac{195}{8}+25$$

Since \frac{390}{8} and \frac{195}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{390-195}{8}+25$$

Subtract 195 from 390 to get 195.

$$\frac{195}{8}+25$$

Convert 25 to fraction \frac{200}{8}.

$$\frac{195}{8}+\frac{200}{8}$$

Since \frac{195}{8} and \frac{200}{8} have the same denominator, add them by adding their numerators.

$$\frac{195+200}{8}$$

Add 195 and 200 to get 395.

$$\frac{395}{8}$$

Factor

$$\frac{5 \cdot 79}{2 ^ {3}} = 49\frac{3}{8} = 49.375$$