Solve 7/8+9/22-5=2/22

$$\frac{ 7 }{ 8 } + \frac{ 9 }{ 22 } -5= \frac{ 2 }{ 22 }$$

Verify

Solution Steps

Least common multiple of 8 and 22 is 88. Convert \frac{7}{8} and \frac{9}{22} to fractions with denominator 88.

$$\frac{77}{88}+\frac{36}{88}-5=\frac{2}{22}$$

Since \frac{77}{88} and \frac{36}{88} have the same denominator, add them by adding their numerators.

$$\frac{77+36}{88}-5=\frac{2}{22}$$

Add 77 and 36 to get 113.

$$\frac{113}{88}-5=\frac{2}{22}$$

Convert 5 to fraction \frac{440}{88}.

$$\frac{113}{88}-\frac{440}{88}=\frac{2}{22}$$

Since \frac{113}{88} and \frac{440}{88} have the same denominator, subtract them by subtracting their numerators.

$$\frac{113-440}{88}=\frac{2}{22}$$

Subtract 440 from 113 to get -327.

$$-\frac{327}{88}=\frac{2}{22}$$

Reduce the fraction \frac{2}{22} to lowest terms by extracting and canceling out 2.

$$-\frac{327}{88}=\frac{1}{11}$$

Least common multiple of 88 and 11 is 88. Convert -\frac{327}{88} and \frac{1}{11} to fractions with denominator 88.

$$-\frac{327}{88}=\frac{8}{88}$$

Compare -\frac{327}{88} and \frac{8}{88}.

$$\text{false}$$