Question

Write a rational expression with denominator 6b that is equivalent to 1/3

Answer 1

To write a rational expression with denominator 6b that is equivalent to 1/3, we need to find a value to multiply both the numerator and denominator of 1/3 by that will result in a denominator of 6b.

We can start by writing 1/3 as a fraction with denominator 1:

1/3 = 1/3 * 1/1

Next, we can multiply both the numerator and denominator by 2b:

1/3 * 2b/2b = 2b/6

Simplifying the fraction 2b/6, we get:

2b/6 = b/3

Therefore, the rational expression with denominator 6b that is equivalent to 1/3 is b/3.