Roots of Reason
Roots of Reason
rootsofreason.org
÷ asks: how many fit?
Anchor Chart · Grade 5 · 5.NF.B.7

Dividing Fractions

23 ÷ 14 = how many fourths fit in two thirds?
1What You Have
2/3 = 8 twelfths
Cut into twelfths so fourths and thirds can share a grid.
2The Group to Pull Out
1/4 = 3 twelfths
One fourth of the same square is a group of 3 cells.
3Count the Groups
2 full groups + 2 of the 3 cells needed
= 2 2/3 groups
8 cells ÷ groups of 3 → 2 groups, then 2 out of 3 of another.
4The Shortcut It Proves
23 ÷ 14 = 23 × 41 = 83
keep · change · flip = 2 2/3 ✓
The flip isn't magic - it's the picture in #3, written as arithmetic.