Lesson 32 Homework 4.5 ((better)) Official

Eureka Math / EngageNY curriculum, Lesson 32 Homework 4.5 focuses on subtracting a fraction from a mixed number

Common Mistake: Students write ( 2 \frac38 ) instead of ( 2 \frac34 ).
Correct Approach: lesson 32 homework 4.5

You can also break the fraction you are subtracting into two parts so the first part takes you to a whole number. Example: 45four-fifths 25two-fifths 25two-fifths Subtract the first part: Subtract the second part: Summary of Results Eureka Math / EngageNY curriculum, Lesson 32 Homework 4

a model (like a number line or tape diagram) to represent the quantities. an equation showing your steps. a statement or word sentence with the final answer. Available Resources Video Walkthroughs Revisit class example that most closely matches the problem

  1. Take 1 whole from the 3, leaving 2 wholes.
  2. Convert that 1 whole into a fraction with the same denominator: (1 = \frac44).
  3. Add that to the existing fraction: (\frac14 + \frac44 = \frac54).
  4. Now rewrite the problem: (2 \frac54 - 1 \frac34).
  5. Subtract fractions: (\frac54 - \frac34 = \frac24 = \frac12).
  6. Subtract wholes: (2 - 1 = 1).
  7. Final answer: (1 \frac12).

Common Pitfalls & Tips

| Mistake | Fix | |---------|-----| | Adding denominators (e.g., ( \frac12 + \frac13 = \frac25 )) | Never add denominators — find common denominator first. | | Forgetting to convert whole numbers | Only the fractional parts need a common denominator. | | Leaving an improper fraction | If fraction sum is ( \frac118 ), rewrite as ( 1\frac38 ) and add 1 to whole number total. |

Lucas put the eraser down. He picked up the pencil again. He labeled the coordinates. Original: J(-2, 3). Rule for 90° CCW: (x, y) → (-y, x). Calculation: The new x is -3. The new y is -2. Point: (-3, -2).

Decomposition (Number Bonds): Breaking down either the mixed number or the fraction being subtracted to make the calculation easier. Example Problems & Solutions