# Lesson 100 – Doodles Do Algebra

Today your child plays with reducing a fraction to its lowest terms. This means that a fraction gets reduced to prime factors in the numerator and the denominator. DoodleOne explains how to do it very thoroughly on the worksheet.

1. $4a^3x^2/6a^4=2*2*a*a*a*x*x/2*3*a*a*a*a=2*x*x/3*a=2x^2/3a$

2. $3a/4x$

3. $3a^2x/4y^4$

4. $3x/4y$

5. $3y^2z/2$

6. $2*2*2*a*a*b/(2*2*3*a*b*b+2*2*a*b*c)=2*2*2*a*a*b/2*2*a*b*(3*b+c)=2*a/(3*b+c)=2a/(3b+c)$

in this problem you need to factor like terms out of the denominator using the techniques you learned in the lessons on factoring.

7. $2acx(ax+1)/2*5*a*c*c*x=(ax+1)/5c$

8. $5ab(a+b)/5ab(c+d)=(a+b)/(c+d)$