Question
(2) The fraction equivalent to \( \frac{18 a b}{12 a b^{2}} \) is
Ask by Barrett Fowler. in Nigeria
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The fraction equivalent is \( \frac{3}{2b} \).
Solution
Calculate or simplify the expression \( \frac{18a*b}{12a*b^{2}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{18ab}{12ab^{2}}\)
- step1: Reduce the fraction:
\(\frac{18b}{12b^{2}}\)
- step2: Reduce the fraction:
\(\frac{18}{12b^{2-1}}\)
- step3: Reduce the fraction:
\(\frac{18}{12b}\)
- step4: Reduce the fraction:
\(\frac{3}{2b}\)
The fraction equivalent to \( \frac{18 a b}{12 a b^{2}} \) is \( \frac{3}{2b} \).
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Simplify this solution Beyond the Answer
To simplify the fraction \( \frac{18 a b}{12 a b^{2}} \), we start by canceling out the common terms in the numerator and the denominator. Both the numerator and denominator have a factor of \( 6ab \): 1. Divide the numerator by \( 6ab \): \( \frac{18ab}{6ab} = 3 \) 2. Divide the denominator by \( 6ab \): \( \frac{12ab^{2}}{6ab} = 2b \) So, after simplification, we get: \[ \frac{18 a b}{12 a b^{2}} = \frac{3}{2b} \] Thus, the equivalent fraction is \( \frac{3}{2b} \).
