Question

(iii) What should be added to(10/20 +4/8-9/18) to get 1 ?


a) 1/12 b) 1/13. c) 1/2. d) 1/8​

Answer 1

Answer:

Option(c) is the correct answer.

Step-by-step explanation:

Explanation:

Given that, $\frac{10}{20 }+ \frac{4}{8} - \frac{9}{18}$

• BODMAS rule - The Bodmas rule is arranged according to the letters in the acronym BODMAS, which stand for brackets, order of powers or roots, division, and multiplication , A stands for addition and S for subtraction.

• According to the BODMAS rule, multi-operator mathematical equations must be resolved in the BODMAS order from left to right.

Step 1:

We have, $\frac{10}{20 }+ \frac{4}{8} - \frac{9}{18}$

First we find the value of $\frac{10}{20 }+ \frac{4}{8} - \frac{9}{18}$.

This can be written as,

⇒$\frac{1}{2} + \frac{1}{2} - \frac{1}{2}$ = $\frac{1}{2}$

Now, if we add $\frac{1}{12}$ to $\frac{1}{2}$ we get,

⇒ $\frac{1 + 6}{12}$ = $\frac{7}{12}$ ≠ 1

On adding $\frac{1}{2}$ to $\frac{1}{2}$ we get,

⇒$\frac{1}{2} + \frac{1}{2}$ = $\frac{2}{2}$ = 1

Final answer:

Hence, $\frac{1}{2}$ be added to ($\frac{10}{20 }+ \frac{4}{8} - \frac{9}{18}$) we get 1.

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