The sum of 12 and 12 is-

Sum: 12+12 Step 1: Add the numerators, put that answer over the common denominator. =Sum of numeratorsCommon denominator =1+12 =22 Step 2: Simplify the fra ...

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Byju's Answer

Standard VI

Mathematics

Addition of like Fractions

The sum of 12...

Question

$The sum of \frac{1}{2} and \frac{1}{2} is .$

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Solution

$Sum: \frac{1}{2} + \frac{1}{2}$

Step 1: Add the numerators, put that answer over the common denominator.

$= \frac{Sum of numerators}{Common denominator}$

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

$= \frac{2}{2}$

Step 2: Simplify the fraction.

$= \frac{1 \times 2}{1 \times 2}$

$= \frac{1}{1}$

$= 1$

$∴ The sum of \frac{1}{2} and \frac{1}{2} is 1 - .$

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Similar questions

$△ ABC \sim Δ XYZ and the ratio of the$ $corresponding sides of Δ XYZ and Δ ABC$ $is 3 : 1. Find the measure of sides XY, YZ$
$and ZX.$

△ ABC \sim Δ XYZ and the ratio of the

corresponding sides of Δ XYZ and Δ ABC

is 3 : 1. Find the measure of sides XY, YZ

and ZX respectively.

The expression for the statement "One half of the sum of three and nine

is added to twelve" is \frac{1}{2} \times (3 + 9) + 12

Q. Let

E_{1} = {x \in R : x \neq 1 and \frac{x}{x - 1} > 0}

and

E_{2} = {x \in E_{1} : {sin}^{- 1} ({log}_{e} (\frac{x}{x - 1})) is a real number} .

(

Here, the inverse trigonometric function

{sin}^{- 1} x

assumes values in

[- \frac{π}{2}, \frac{π}{2}]

)

Let

f : E_{1} \to R

be the function defined by

f (x) = {log}_{e} (\frac{x}{x - 1})

and

g : E_{2} \to R

be the function defined by

g (x) = {sin}^{- 1} ({log}_{e} (\frac{x}{x - 1})) .

\begin{matrix} L i s t A & L i s t B P . & The range of f is & 1. & (- \infty, \frac{1}{1 - e}] \cup [\frac{e}{e - 1}, \infty) Q . & The range of g contains & 2. & (0, 1) R . & The domain of f contains & 3. & [- \frac{1}{2}, \frac{1}{2}] S . & The domain of g is & 4. & (- \infty, 0) \cup (0, \infty) 5. & (- \infty, \frac{e}{e - 1}] 6. & (- \infty, 0) \cup (\frac{1}{2}, \frac{e}{e - 1}] \end{matrix}

The correct option is:

List I

has four entries and

List II

has five entries. Each entry of

List I

is to be correctly matched with one or more than one entries of

List II .

\begin{matrix} List I & List II (A) & Possible value(s) of \sqrt{i} + \sqrt{- i} is (are) & (P) & \sqrt{2} (B) & If z^{3} = ¯ ¯ ¯ z (z \neq 0), & (Q) & i then possible values of z is/are (C) & 1 + \frac{1}{4} + \frac{1 \cdot 3}{4 \cdot 8} + \frac{1 \cdot 3 \cdot 5}{4 \cdot 8 \cdot 12} + \dots \dots \infty & (R) & \sqrt{2} i (D) & \frac{1}{3^{2} + 1} + \frac{1}{4^{2} + 2} + \frac{1}{5^{2} + 3} + \dots \dots \infty & (S) & \frac{1}{2} (T) & \frac{13}{36} \end{matrix}

Which of the following is CORRECT combination?

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The sum of 12 and 12 is.

Sum: 12+12 Step 1: Add the numerators, put that answer over the common denominator. =Sum of numeratorsCommon denominator =1+12 =22 Step 2: Simplify the fraction. =1×21×2 =11 =1 ∴The sum of 12 and 12 is 1–.

$The sum of \frac{1}{2} and \frac{1}{2} is .$