Question

3/8 + 2/3 make like units.

Explanation:

Step1: Find a common denominator

To add \(\frac{3}{8}\) and \(\frac{2}{3}\), we first find the least common denominator (LCD) of 8 and 3. The LCD of 8 and 3 is \(8\times3 = 24\) since they are coprime.

Step2: Rewrite the fractions

Rewrite \(\frac{3}{8}\) with denominator 24: \(\frac{3\times3}{8\times3}=\frac{9}{24}\).
Rewrite \(\frac{2}{3}\) with denominator 24: \(\frac{2\times8}{3\times8}=\frac{16}{24}\).

Step3: Add the fractions

Now add the two fractions: \(\frac{9}{24}+\frac{16}{24}=\frac{9 + 16}{24}=\frac{25}{24}=1\frac{1}{24}\).

Answer:

\(\frac{25}{24}\) (or \(1\frac{1}{24}\))