Question

1. what is the least common denominator to add $\frac{2}{9}+\frac{4}{15}$? (7-3)

a 45
b 60
c 90
d 135

Explanation:

Step1: Factorize denominators

Factorize \(9 = 3\times3\) and \(15 = 3\times5\).

Step2: Find LCM

The least common multiple (LCM) is found by taking the highest power of each prime factor. For prime factor \(3\), the highest power is \(3^2\) (from \(9\)), and for prime factor \(5\), the highest power is \(5^1\) (from \(15\)). So, \(LCM = 3^2\times5=9\times5 = 45\).

Answer:

A. 45