Identify Common Denominator: Identify a common denominator for the fractions 1/4 and 1/2. The least common denominator (LCD) for 4 and 2 is 4.Convert Fraction to Common Denominator: Convert the fraction 1/2 to have the common denominator of 4. To do this, multiply both the numerator and the denominator of 1/2 by 2 to get 2/4. 1/2 = (1*2)/(2*2) = 2/4Add Fractions with Common Denominator: Add the two fractions with the common denominator. Now that both fractions have the same denominator, we can add them directly. (1/4) + (2/4) = (1+2)/4Perform Numerator Addition: Perform the addition of the numerators. Add the numerators 1 and 2. 1 + 2 = 3Write Final Answer: Write the final answer as a fraction with the common denominator. The sum of the fractions is 3/4.

Resources

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

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

Identify Common Denominator: Identify a common denominator for the fractions $\frac{1}{4}$ and $\frac{1}{2}$ . The least common denominator (LCD) for $4$ and $2$ is $4$ .
Convert Fraction to Common Denominator: Convert the fraction $\frac{1}{2}$ to have the common denominator of $4$ . $\newline$ To do this, multiply both the numerator and the denominator of $\frac{1}{2}$ by $2$ to get $\frac{2}{4}$ . $\newline$ $\frac{1}{2} = \left(\frac{1\times2}{2\times2}\right) = \frac{2}{4}$
Add Fractions with Common Denominator: Add the two fractions with the common denominator. $\newline$ Now that both fractions have the same denominator, we can add them directly. $\newline$ $(\frac{1}{4}) + (\frac{2}{4}) = \frac{1+2}{4}$
Perform Numerator Addition: Perform the addition of the numerators. $\newline$ Add the numerators $1$ and $2$ . $\newline$ $1 + 2 = 3$
Write Final Answer: Write the final answer as a fraction with the common denominator. $\newline$ The sum of the fractions is $\frac{3}{4}$ .