Cogito
Grade 4 Math · Chapter 5 · Lesson 6
Mixed Numbers
Whole ones and some pieces left over.
10 problems · about 15 minutes · 4.NF.B.3
What this lesson teaches
The child converts between mixed numbers and improper fractions.
- A fraction bigger than 1 can be written as a mixed number.
- Divide the top by the bottom to find the wholes.
- The remainder keeps the same unit.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — Why 1/2 + 1/3 Is Not 2/5: 1/4 + 1/2, in quarters. What is the top number?
Answer 3
Why 1/4 + 2/4 = 3/4.
Review — Adding Fractions with the Same Unit: 3/10 + 4/10. What is the top number of the answer?
Answer 7
Why 7/10.
Warm Up
Straightforward practice. Get the method working first.
4 problems17/5 as a mixed number. What is the whole number part?
Answer 3
Why 3 wholes, with 2 fifths left: 3 2/5.
2 3/4 in quarters. What is the top number?
Answer 11
Why 11/4.
13/4 as a mixed number. What is the whole number part?
Answer 3
Why 13 ÷ 4.
13/4 as a mixed number. What is the top number of the fraction part?
Answer 1
Why The remainder.
Build It Up
The same ideas with more to keep track of.
2 problems3 2/5 in fifths. What is the top number?
Answer 17
Why 3 × 5 = 15, plus 2.
How many sixths are in 2 whole ones?
Answer 12
Why 6 in each whole.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Pizzas: 9 quarters of pizza. How many whole pizzas is that?
Answer 2 whole pizzas
Why 2 whole pizzas, with 1 quarter left over.
The Ribbon: 2 1/5 metres written in fifths. What is the top number?
Answer 11
Why 11/5.