Question

Learning Task 2: Find the sum and difference. Express the answer in lowest

term. Write your answer in your notebook.​

Answer 1

1) $\dfrac{8}{8}-\dfrac{5}{8}=\boxed{\dfrac{3}{8}}$

2) $\dfrac{6}{12}+\dfrac{4}{6}=\boxed{1\dfrac{1}{6}}$

3) $\dfrac{8}{15}+\dfrac{3}{15}=\boxed{\dfrac{11}{15}}$

Step-by-step explanation:

1) $\dfrac{8}{8}-\dfrac{5}{8}$

• Since the denominators are the same, then the LCM of the denominators is $8$

$=\dfrac{8-5}{8}$

$=\dfrac{3}{8}$

2) $\dfrac{6}{12}+\dfrac{4}{6}$

• We express $\dfrac{6}{12}=\dfrac{3}{6}$ where we have divided both the numerator and the denominator by $2$

$=\dfrac{3}{6}+\dfrac{4}{6}$

• Since the denominators are the same, then the LCM of the denominators is $6$

$=\dfrac{3+4}{6}$

$=\dfrac{7}{6}$

$=1\dfrac{1}{6}$

3) $\dfrac{8}{15}+\dfrac{3}{15}$

• Since the denominators are the same, then the LCM of the denominators is $15$

$=\dfrac{8+3}{15}$

$=\dfrac{11}{15}$