# Lesson 99 – Doodles Do Algebra

Today your child learns the last proposition – if you multiply (or divide) the top (numerator) and bottom (denominator) of a fraction by the same thing, the fraction keeps the same value.

Multiply Numerator $(4*2)/16=8/16=1/2$
Multiply Denominator $4/(16*2)=4/32=2/16=1/8$
Divide Numerator $(4/2)/16=2/16=1/8$
Divide Denominator $4/(16/2)=4/8=2/4=1/2$
Multiply both Numerator and Denominator $(4*2)/(16*2)=8/32=4/16=1/4$
Divide both Numerator and Denominator $(4/2)/16/2)=2/8=1/4$