Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
What if we took a fraction apart, then took those pieces apart, then recombined them, and then recombined those, arriving back to the original fraction?
Students try to reach a specified number by adding and/or subtracting three fractions using only the digits 1 through 6. This set of challenging math puzzles comes from the series Advanced Common Core Math.