Task# Fraction Equivalence

Illustrative MathematicsVaries

The explanation below is a teacher-level explanation. Students may not articulate every detail, but the basic idea for a case like the one shown here is that when you have equivalent fractions, you have just cut the pieces that represent the fraction into more but smaller pieces. Explaining fraction equivalences at higher grades can be a bit more involved, but it can always be framed as subdividing the same quantity in different ways.