Question

What is the equivalent rational number of $\frac{2}{3}$ with denominator 18?

• A. $\frac{8}{18}$
• B. $\frac{10}{18}$
• C. $\frac{12}{18}$
• D. $\frac{16}{18}$

Answer 1

The correct option is C $\frac{12}{18}$

We have to multiply or divide both the numerator and the denominator of the given rational number by the same number to obtain an equivalent form of it.
To obtain an equivalent rational number of $\frac{2}{3}$ with denominator 18, we have to multiply both the numerator and denominator of $\frac{2}{3}$ by 6.

i.e.,$\frac{2\times 6}{3\times 6}=\frac{12}{18}$