Question

Answer 1

2+5/7=19/7

13/5-2=3/5

3-3/8=21/8

1/2+1/3+1/6=3/6+2/6+1/6=1

5/12+5/6-3/4=5/12+10/12-9/12=6/12=1/2

1-1/5-1/2=1-7/10=3/10

Answer 2

b) \(2+\dfrac{5}{7}=\dfrac{14+5}{7}=\dfrac{19}{7}.\)

\(\dfrac{13}{5}-2=\dfrac{13-10}{5}=\dfrac{3}{5}.\)

\(3-\dfrac{3}{8}=\dfrac{24-3}{8}=\dfrac{21}{8}.\)

c) \(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}=\dfrac{3+2+1}{6}=\dfrac{6}{6}=1.\)

\(\dfrac{5}{12}+\dfrac{5}{6}-\dfrac{3}{4}=\dfrac{5+10-9}{12}=\dfrac{6}{12}=\dfrac{1}{2}.\)

\(1-\left(\dfrac{1}{5}+\dfrac{1}{2}\right)=1-\dfrac{2+5}{10}=1-\dfrac{7}{10}=\dfrac{10-7}{10}=\dfrac{3}{10}.\)