Question

simplify.
\frac{10ab}{25bc}

Explanation:

Step1: Factor numerator and denominator

Factor 10 and 25: \(10 = 5\times2\), \(25 = 5\times5\). Also, identify common variables: both numerator and denominator have \(b\).
So, \(\frac{10ab}{25bc}=\frac{5\times2\times a\times b}{5\times5\times b\times c}\)

Step2: Cancel common factors

Cancel the common factor \(5\) and \(b\) from numerator and denominator.
\(\frac{5\times2\times a\times b}{5\times5\times b\times c}=\frac{2a}{5c}\)

Answer:

\(\frac{2a}{5c}\)