Answer:
A. 1/12+5/12+5/12
Step-by-step explanation:
From the given options; let us calculate the fractions and see which one tallies with 11/12
a) [tex]\dfrac{1}{12}+ \dfrac{5}{12} + \dfrac{5}{12}[/tex]
The lowest common multiple (L.C.M) here is 12 because 12 goes in all the denominators.
So;
[tex]= \dfrac{1+5+5}{12}[/tex]
[tex]= \dfrac{11}{12}[/tex]
b)
[tex]\dfrac{5}{4}+\dfrac{3}{4}+\dfrac{3}{4}[/tex]
Here, the lowest number that can be divisible by the denominators is 4
[tex]=\dfrac{5+3+3}{4}[/tex]
[tex]=\dfrac{11}{4}[/tex]
c)
[tex]\dfrac{5}{6}+\dfrac{6}{6}[/tex]
[tex]=\dfrac{5+6}{6}[/tex]
[tex]=\dfrac{11}{6}[/tex]
d)
[tex]\dfrac{10}{12}+\dfrac{2}{12}[/tex]
[tex]=\dfrac{10+2}{12}[/tex]
[tex]= \dfrac{12}{12}[/tex]
= 1
Thus, from the given options, the expression that has the sum of 11/12 is option A.
