Solve 22/9-(2/9-13/4)+1.25

$$2 \frac { 2 } { 9 } - ( \frac { 2 } { 9 } - 1 \frac { 3 } { 4 } ) + 1.25$$

Evaluate

$$5$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+2}{9}-\left(\frac{2}{9}-\frac{1\times 4+3}{4}\right)+1.25$$

Add 18 and 2 to get 20.

$$\frac{20}{9}-\left(\frac{2}{9}-\frac{1\times 4+3}{4}\right)+1.25$$

Multiply 1 and 4 to get 4.

$$\frac{20}{9}-\left(\frac{2}{9}-\frac{4+3}{4}\right)+1.25$$

Add 4 and 3 to get 7.

$$\frac{20}{9}-\left(\frac{2}{9}-\frac{7}{4}\right)+1.25$$

Least common multiple of 9 and 4 is 36. Convert \frac{2}{9} and \frac{7}{4} to fractions with denominator 36.

$$\frac{20}{9}-\left(\frac{8}{36}-\frac{63}{36}\right)+1.25$$

Since \frac{8}{36} and \frac{63}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20}{9}-\frac{8-63}{36}+1.25$$

Subtract 63 from 8 to get -55.

$$\frac{20}{9}-\left(-\frac{55}{36}\right)+1.25$$

The opposite of -\frac{55}{36} is \frac{55}{36}.

$$\frac{20}{9}+\frac{55}{36}+1.25$$

Least common multiple of 9 and 36 is 36. Convert \frac{20}{9} and \frac{55}{36} to fractions with denominator 36.

$$\frac{80}{36}+\frac{55}{36}+1.25$$

Since \frac{80}{36} and \frac{55}{36} have the same denominator, add them by adding their numerators.

$$\frac{80+55}{36}+1.25$$

Add 80 and 55 to get 135.

$$\frac{135}{36}+1.25$$

Reduce the fraction \frac{135}{36} to lowest terms by extracting and canceling out 9.

$$\frac{15}{4}+1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{15}{4}+\frac{5}{4}$$

Since \frac{15}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{15+5}{4}$$

Add 15 and 5 to get 20.

$$\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$5$$

Factor

$$5$$