Identify common denominator: Identify the common denominator for 1/2 and 1/4. The common denominator is 4 because it is the least common multiple of 2 and 4. Convert to equivalent fraction: Convert 1/2 to an equivalent fraction with the denominator of 4. To do this, multiply both the numerator and the denominator of 1/2 by 2. This gives us 2/4. Add fractions with common denominator: Add the two fractions with the common denominator. Now we have 2/4 (from step 2) and 1/4. Adding these together gives us (2 + 1)/4. Perform addition in numerator: Perform the addition in the numerator. 2 + 1 equals 3. So, we have 3/4.

Resources

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Grade 8

Add and subtract rational numbers

Full solution

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

Identify common denominator: Identify the common denominator for $\frac{1}{2}$ and $\frac{1}{4}$ . The common denominator is $4$ because it is the least common multiple of $2$ and $4$ .
Convert to equivalent fraction: Convert $\frac{1}{2}$ to an equivalent fraction with the denominator of $4$ . To do this, multiply both the numerator and the denominator of $\frac{1}{2}$ by $2$ . This gives us $\frac{2}{4}$ .
Add fractions with common denominator: Add the two fractions with the common denominator. Now we have $\frac{2}{4}$ (from step $2$ ) and $\frac{1}{4}$ . Adding these together gives us $\frac{(2 + 1)}{4}$ .
Perform addition in numerator: Perform the addition in the numerator. $2 + 1$ equals $3$ . So, we have $\frac{3}{4}$ .