Chapter 1: Q20. (page 16)

The simplified form of $\frac{1}{2} + \frac{1}{4}$ .

Short Answer

Expert verified

The simplified form of $\frac{1}{2} + \frac{1}{4}$ is $\frac{3}{4}$ .

Step by step solution

Step 1.

The statement “ $\frac{1}{2} + \frac{1}{4}$ .”

Step 2. Concept.

When two or more fractions with different denominators are added or subtracted then firstly, they are converted into fractions with the same denominators and then accordingly added or subtracted.

Step 3. Calculation.

Consider the provided statement “ $\frac{1}{2} + \frac{1}{4}$ .”

Recall that when two fractions having different denominators are added then firstly, they are converted into fractions with the same denominators and then added.

So, multiply $\frac{1}{2}$ by 2 in both numerator and denominator,

$\frac{1 \times 2}{2 \times 2} = \frac{2}{4}$

Now, the given expression can be simplified as,

$\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4}$

$\frac{1}{2} + \frac{1}{4} = \frac{2 + 1}{4}$

$\frac{1}{2} + \frac{1}{4} = \frac{3}{4}$

Step 4. Recheck.

Since, $\frac{3}{4}$ cannot be simplified further,

Hence, the simplified form of $\frac{1}{2} + \frac{1}{4}$ is $\frac{3}{4}$ .

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The simplified form of $\frac{1}{2} + \frac{1}{4}$ .

Short Answer

Step by step solution

Step 1.

Step 2. Concept.

Step 3. Calculation.

Step 4. Recheck.

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The simplified form of 12+14.

Short Answer

Step by step solution

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Step 2. Concept.

Step 3. Calculation.

Step 4. Recheck.

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The simplified form of $\frac{1}{2} + \frac{1}{4}$ .