Solve 12,5-5,4*2/100+23/5

$$12,5 - 5,4 \times \frac { 2 } { 100 } + 2 \frac { 3 } { 5 }$$

Evaluate

$$14,992$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$12,5-5,4\times \frac{1}{50}+\frac{2\times 5+3}{5}$$

Convert decimal number 5,4 to fraction \frac{54}{10}. Reduce the fraction \frac{54}{10} to lowest terms by extracting and canceling out 2.

$$12,5-\frac{27}{5}\times \frac{1}{50}+\frac{2\times 5+3}{5}$$

Multiply \frac{27}{5} times \frac{1}{50} by multiplying numerator times numerator and denominator times denominator.

$$12,5-\frac{27\times 1}{5\times 50}+\frac{2\times 5+3}{5}$$

Do the multiplications in the fraction \frac{27\times 1}{5\times 50}.

$$12,5-\frac{27}{250}+\frac{2\times 5+3}{5}$$

Convert decimal number 12,5 to fraction \frac{125}{10}. Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$\frac{25}{2}-\frac{27}{250}+\frac{2\times 5+3}{5}$$

Least common multiple of 2 and 250 is 250. Convert \frac{25}{2} and \frac{27}{250} to fractions with denominator 250.

$$\frac{3125}{250}-\frac{27}{250}+\frac{2\times 5+3}{5}$$

Since \frac{3125}{250} and \frac{27}{250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3125-27}{250}+\frac{2\times 5+3}{5}$$

Subtract 27 from 3125 to get 3098.

$$\frac{3098}{250}+\frac{2\times 5+3}{5}$$

Reduce the fraction \frac{3098}{250} to lowest terms by extracting and canceling out 2.

$$\frac{1549}{125}+\frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{1549}{125}+\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{1549}{125}+\frac{13}{5}$$

Least common multiple of 125 and 5 is 125. Convert \frac{1549}{125} and \frac{13}{5} to fractions with denominator 125.

$$\frac{1549}{125}+\frac{325}{125}$$

Since \frac{1549}{125} and \frac{325}{125} have the same denominator, add them by adding their numerators.

$$\frac{1549+325}{125}$$

Add 1549 and 325 to get 1874.

$$\frac{1874}{125}$$

Factor

$$\frac{2 \cdot 937}{5 ^ {3}} = 14\frac{124}{125} = 14.992$$