Chapter 4, Problem 12CT

To determine

To write the fraction in simplest form $\frac{12a^2}{2ab}$

Answer to Problem 12CT

  $\frac{6a}{b}$

Explanation of Solution

Given information:

Expression $\frac{12a^2}{2ab}$

Formula Used: Factorization & Quotient Exponent Rule & Zero Exponent Rule

Calculation:

To reduce the fraction to its simplest form, break down the numerator & denominator into its factors. So,

  $\frac{12a^2}{2ab}=\frac{2\times 2\times 3\times a^2}{2\times a\times b}$

As both numerator & denominator has 2 in common, so they cancel out.

Also, as per the quotient exponent rule, when bases are same in division, exponents are subtracted. So for a, subtract the exponent.

In the next step,

  $=\frac{2\times 3\times a^{2-1}}{b}$

This gives us-

  $=\frac{6a}{b}$

Conclusion-

  $=\frac{6a}{b}$