Solve 81/4-9/10+28/5+0,3=

$$\frac { 81 } { 4 } - \frac { 9 } { 10 } + \frac { 28 } { 5 } + 0,3 =$$

Evaluate

$$25,25$$

Solution Steps

Least common multiple of 4 and 10 is 20. Convert \frac{81}{4} and \frac{9}{10} to fractions with denominator 20.

$$\frac{405}{20}-\frac{18}{20}+\frac{28}{5}+0,3$$

Since \frac{405}{20} and \frac{18}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{405-18}{20}+\frac{28}{5}+0,3$$

Subtract 18 from 405 to get 387.

$$\frac{387}{20}+\frac{28}{5}+0,3$$

Least common multiple of 20 and 5 is 20. Convert \frac{387}{20} and \frac{28}{5} to fractions with denominator 20.

$$\frac{387}{20}+\frac{112}{20}+0,3$$

Since \frac{387}{20} and \frac{112}{20} have the same denominator, add them by adding their numerators.

$$\frac{387+112}{20}+0,3$$

Add 387 and 112 to get 499.

$$\frac{499}{20}+0,3$$

Convert decimal number 0,3 to fraction \frac{3}{10}.

$$\frac{499}{20}+\frac{3}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{499}{20} and \frac{3}{10} to fractions with denominator 20.

$$\frac{499}{20}+\frac{6}{20}$$

Since \frac{499}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.

$$\frac{499+6}{20}$$

Add 499 and 6 to get 505.

$$\frac{505}{20}$$

Reduce the fraction \frac{505}{20} to lowest terms by extracting and canceling out 5.

$$\frac{101}{4}$$

Factor

$$\frac{101}{2 ^ {2}} = 25\frac{1}{4} = 25.25$$