Identify LCD: Identify the least common denominator (LCD) for the fractions 1/2 and 1/6. The denominators are 2 and 6. The LCD for 2 and 6 is 6.Convert fractions: Convert each fraction to an equivalent fraction with the LCD as the denominator. For 1/2, multiply the numerator and denominator by 3 to get 3/6. For 1/6, the fraction is already with the LCD as the denominator, so it remains 1/6.Add equivalent fractions: Add the equivalent fractions. Now that both fractions have the same denominator, add the numerators: 3/6 + 1/6 = (3 + 1)/6.Perform addition: Perform the addition of the numerators. Adding the numerators gives us 4/6.Simplify fraction: Simplify the fraction, if possible. The fraction 4/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, 4/6 ÷ 2/2 = 2/3.

Resources

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$\frac{1}{2}+\frac{1}{6}=$

View step-by-step help

Home

Math Problems

Grade 6

Solve for a variable using properties of multiplication

Full solution

\frac{1}{2}+\frac{1}{6}=

Identify LCD: Identify the least common denominator (LCD) for the fractions $\frac{1}{2}$ and $\frac{1}{6}$ . The denominators are $2$ and $6$ . The LCD for $2$ and $6$ is $6$ .
Convert fractions: Convert each fraction to an equivalent fraction with the LCD as the denominator. $\newline$ For $\frac{1}{2}$ , multiply the numerator and denominator by $3$ to get $\frac{3}{6}$ . $\newline$ For $\frac{1}{6}$ , the fraction is already with the LCD as the denominator, so it remains $\frac{1}{6}$ .
Add equivalent fractions: Add the equivalent fractions. $\newline$ Now that both fractions have the same denominator, add the numerators: $\frac{3}{6} + \frac{1}{6} = \frac{(3 + 1)}{6}$ .
Perform addition: Perform the addition of the numerators. $\newline$ Adding the numerators gives us $\frac{4}{6}$ .
Simplify fraction: Simplify the fraction, if possible. $\newline$ The fraction $\frac{4}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ So, $\frac{4}{6} \div \frac{2}{2} = \frac{2}{3}$ .