Question

7. Add the following rational numbers:
d) -11/12 + 3/-8 + 1/4​

Answer 1

Answer:

-11/12 + 3/-8 + 1/4

-11/12 + -3/8 + 1/4

-11/12 - 1/8

- 100/96

- 50/43

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Answer 2

$\bf\blue{QuestioN:-}$

Add the following rational numbers:

d) -11/12 + 3/-8 + 1/4​

$\bf\pink{AnsweR:-}$

For seeing the sum of the rational numbers first we need to make the denominators same.

For that, we need to see the LCM.

LCM of 12, 8 and 4 = ??

12 = 2 × 2 × 3

8 = 2 × 2 × 2

4 = 2 × 2

LCM = 2 × 2 × 2 × 3 = 24.

We need to convert all the denominators into 24.

$\longrightarrow\bf{\dfrac{-11}{12}=\dfrac{-11\times2}{24}}$  

$\longrightarrow\bf{\dfrac{-22}{24}$   -------- (Step 1)

$\longrightarrow\bf{\dfrac{-3}{8}=\dfrac{-3\times3}{24}}$

$\longrightarrow\bf{\dfrac{-9}{24}$      --------- (Step 2)

$\longrightarrow\bf{\dfrac{1}{4}=\dfrac{1\times6}{24}}$

$\longrightarrow\bf{\dfrac{6}{24}$ --------- ( Step 3 )

The final step is to add all these three fractions.

$\longrightarrow\bf{\dfrac{-22}{24}+\dfrac{-9}{24}+\dfrac{6}{24}$

$\longrightarrow\bf{\dfrac{-22+-9+6}{24}$

$\longrightarrow\bf{\dfrac{-25}{24}$

The required answer for your question is -25/24.

All Done !! ☺