Simplify. (4)/(3) + (2)/(5) = _____

Find LCD: Find a common denominator for the fractions 4/3 and 2/5. The least common denominator (LCD) for 3 and 5 is 15.Convert to 15: Convert each fraction to an equivalent fraction with the common denominator of 15. For 4/3, multiply both the numerator and the denominator by 5 to get (4*5)/(3*5) = 20/15. For 2/5, multiply both the numerator and the denominator by 3 to get (2*3)/(5*3) = 6/15.Add fractions: Add the equivalent fractions with the common denominator. 20/15 + 6/15 = (20 + 6)/15 = 26/15.Simplify fraction: Simplify the fraction if possible. 26/15 is already in its simplest form.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. $\newline$ $\frac{4}{3} + \frac{2}{5} = \_\_\_\_\_$

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate logarithms using a calculator

Full solution

Q. Simplify.

\newline

\frac{4}{3} + \frac{2}{5} = \_\_\_\_\_

Find LCD: Find a common denominator for the fractions $\frac{4}{3}$ and $\frac{2}{5}$ . The least common denominator (LCD) for $3$ and $5$ is $15$ .
Convert to $15$ : Convert each fraction to an equivalent fraction with the common denominator of $15$ . For $\frac{4}{3}$ , multiply both the numerator and the denominator by $5$ to get $\frac{(4\times5)}{(3\times5)} = \frac{20}{15}$ . For $\frac{2}{5}$ , multiply both the numerator and the denominator by $3$ to get $\frac{(2\times3)}{(5\times3)} = \frac{6}{15}$ .
Add fractions: Add the equivalent fractions with the common denominator. $\newline$ $\frac{20}{15} + \frac{6}{15} = \frac{(20 + 6)}{15} = \frac{26}{15}$ .
Simplify fraction: Simplify the fraction if possible. $\frac{26}{15}$ is already in its simplest form.