When the fraction you are subtracting is larger than the fractional part of the mixed number, you must "break apart" (decompose) the subtrahend to reach a whole number first. Example Problem: Decompose the subtrahend: three-fifths two-fifths Subtract to reach a whole: Subtract the remaining part: 2. Strategy: The Number Line
: Taking one whole from the mixed number and subtracting the fraction from that whole. , think of . Subtract three-fifths from the 1 ( ), then add the results back together ( Lesson Resources lesson 32 homework 4.5
Double-check your borrowing when subtracting multi-digit numbers. When the fraction you are subtracting is larger
This lesson is designed to move students beyond basic fraction subtraction into more complex mental strategies using decomposition and visual models. , think of
Mastering means you are ready for Lesson 33, where students subtract a fraction from a whole number (e.g., ( 4 - \frac35 )) using similar number line strategies.