4.NOS.E.11: Apply understanding of a fraction c/d with d > 1 as a sum of unit fractions (c/d = 1/d + 1/d + ... + 1/d) to decompose a fraction (including fractions greater than 1) into a sum of fractions with the same denominator in more than one way, recording each decomposition as an equation. Justify decompositions using visual fraction models and equations (e.g., 3/8 = 1/8 + 1/8 + 1/8 or 3/8 = 1/8 + 2/8 or 2 1/8 = 1 + 1 + 1/8 or 2 1/8 = 8/8 + 8/8 + 1/8).

Apply understanding of a fraction c/d with d > 1 as a sum of unit fractions (c/d = 1/d + 1/d + ... + 1/d) to decompose a fraction (including fractions greater than 1) into a sum of fractions with the same denominator in more than one way, recording each decomposition as an equation. Justify decompositions using visual fraction models and equations (e.g., 3/8 = 1/8 + 1/8 + 1/8 or 3/8 = 1/8 + 2/8 or 2 1/8 = 1 + 1 + 1/8 or 2 1/8 = 8/8 + 8/8 + 1/8).

Example Problems

Add:

\frac{3}{5} + \frac{4}{5}

Add:

\frac{3}{7} + \frac{5}{7}

Add:

\frac{8}{9} + \frac{5}{9}

1-on-1 AI tutoring aligned to 4.NOS.E.11. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →