Solve 71.25+(71.25*95%)

$$71.25+(71.25 \times 95 \% )$$

Evaluate

$$138.9375$$

Solution Steps

Reduce the fraction \frac{95}{100} to lowest terms by extracting and canceling out 5.

$$71.25+71.25\times \frac{19}{20}$$

Convert decimal number 71.25 to fraction \frac{7125}{100}. Reduce the fraction \frac{7125}{100} to lowest terms by extracting and canceling out 25.

$$71.25+\frac{285}{4}\times \frac{19}{20}$$

Multiply \frac{285}{4} times \frac{19}{20} by multiplying numerator times numerator and denominator times denominator.

$$71.25+\frac{285\times 19}{4\times 20}$$

Do the multiplications in the fraction \frac{285\times 19}{4\times 20}.

$$71.25+\frac{5415}{80}$$

Reduce the fraction \frac{5415}{80} to lowest terms by extracting and canceling out 5.

$$71.25+\frac{1083}{16}$$

Convert decimal number 71.25 to fraction \frac{7125}{100}. Reduce the fraction \frac{7125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{285}{4}+\frac{1083}{16}$$

Least common multiple of 4 and 16 is 16. Convert \frac{285}{4} and \frac{1083}{16} to fractions with denominator 16.

$$\frac{1140}{16}+\frac{1083}{16}$$

Since \frac{1140}{16} and \frac{1083}{16} have the same denominator, add them by adding their numerators.

$$\frac{1140+1083}{16}$$

Add 1140 and 1083 to get 2223.

$$\frac{2223}{16}$$

Factor

$$\frac{13 \cdot 19 \cdot 3 ^ {2}}{2 ^ {4}} = 138\frac{15}{16} = 138.9375$$