QuestionAugust 25, 2025

Evaluate the expression shown below and write your answer as a fraction or mixed number in simplest form. -(3)/(16)+(-(11)/(20))

Evaluate the expression shown below and write your answer as a fraction or mixed number in simplest form. -(3)/(16)+(-(11)/(20))
Evaluate the expression shown below and write your answer as a fraction or mixed number in simplest form. -(3)/(16)+(-(11)/(20))

Solution
4.1(297 votes)

Answer

-\frac{59}{80} Explanation 1. Find a common denominator The least common multiple of 16 and 20 is 80. 2. Convert fractions to have the same denominator -\frac{3}{16} = -\frac{3 \times 5}{16 \times 5} = -\frac{15}{80}; -\frac{11}{20} = -\frac{11 \times 4}{20 \times 4} = -\frac{44}{80}. 3. Add the fractions -\frac{15}{80} + (-\frac{44}{80}) = -\frac{15 + 44}{80} = -\frac{59}{80}.

Explanation

1. Find a common denominator<br /> The least common multiple of 16 and 20 is 80.<br />2. Convert fractions to have the same denominator<br /> $-\frac{3}{16} = -\frac{3 \times 5}{16 \times 5} = -\frac{15}{80}$; $-\frac{11}{20} = -\frac{11 \times 4}{20 \times 4} = -\frac{44}{80}$.<br />3. Add the fractions<br /> $-\frac{15}{80} + (-\frac{44}{80}) = -\frac{15 + 44}{80} = -\frac{59}{80}$.
Click to rate:

Similar Questions