DECOMPOSE & RENAME
What is 3 2/5 decomposed into a whole and fraction?
👉 Answer: 3 and 2/5
2 1/4 + 3 2/4 = ?
👉 Answer: 5 3/4
5 3/4 − 2 1/4 = ?
👉 Answer: 3 1/2
Jada ran 2 1/2 miles and 1 1/2 miles. Total?
👉 Answer: 4
Student says: 2 1/4 + 3 2/4 = 5 3/8
👉 Answer: Added denominators incorrectly
Rewrite 5 1/4 as a sum.
👉 Answer: 5 + 1/4
4 3/5 + 2 1/5 = ?
👉 Answer: 6 4/5
6 1/3 − 2 2/3 = ?
👉 Answer: 3 2/3
Rope is 6 1/4 ft, cut 2 3/4 ft. Remaining?
👉 Answer: 3 1/2
6 1/3 − 2 2/3 = 4 1/3
👉 Answer: Did not regroup
Rename 6 1/3 to prepare for subtraction.
👉 Answer: 5 + 4/3
1 4/6 + 2 3/6 = ?
👉 Answer: 4 1/6
7 2/5 − 4 4/5 = ?
👉 Answer: 2 3/5
Marcus ate 3 2/3 pizzas, shared 1 1/3. Left?
👉 Answer: 2 1/3
4 5/6 + 2 3/6 = 6 8/6
👉 Answer: Needs regrouping
Why do we rename before subtracting mixed numbers?
👉 Answer: So the fraction is large enough to subtract
What happens when fractions add to more than 1?
👉 Answer: Regroup to the whole number
Why do we regroup in subtraction?
👉 Answer: Fraction is too small to subtract
Solve equation: 7 1/2 − 3 3/2
👉 Answer: 2
Why simplify answers?
👉 Answer: To show correct form
Simplify 8 2/6.
👉 Answer: 8 1/3
5 5/8 + 3 7/8 = ?
👉 Answer: 9 1/2
9 1/6 − 3 5/6 = ?
👉 Answer: 5 1/3
Steps to solve mixed number subtraction word problem
👉 Answer: Identify operation, rename, subtract, simplify
Fix: 5 2/3 − 3 1/3 = 2 1/0
2 1/3