Q20. - Algebra 1

Question

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

Step-by-Step Solution

Answer

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

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 $\frac{3}{4}$.