Answer:
The Three expressions that have a sum or difference of 3 /4 .
B . 11/12 − 1/6
C. 3/5 + 3/20
E . 2/3 + 1/12
Step-by-step explanation:
The Three expressions that have a sum or difference of 3 /4 .
are
B . 11/12 − 1/6
[tex]\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{1\times 2}{6\times 2}\\\\\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{2}{12}=\dfrac{11-2}{12}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]
Therefore,
[tex]\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{3}{4}[/tex]
C. 3/5 + 3/20
[tex]\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3\times 4}{5\times 4}+\dfrac{3}{20}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{12}{20}+\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3}{4}[/tex]
Therefore,
[tex]\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3}{4}[/tex]
E . 2/3 + 1/12
[tex]\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{2\times 4}{3\times 4}+\dfrac{1}{12}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{8+1}{12}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]
Therefore,
[tex]\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{3}{4}[/tex]