Calculate 1 1/4 ÷ 1/4. Simplify.
5
5/4 ÷ 1/4 = 5/4 × 4 = 5.
Day 024Mixed Number Quotients and Checks
Standards 6.NS.A.1
LEARNING TARGET
I can divide mixed numbers after renaming them as fractions.
01 · LEARN
Build the idea
Rename a mixed number as (whole × denominator + numerator)/denominator. Keep the dividend, change division to multiplication, and use the reciprocal of the divisor. Simplify and interpret the result.
Calculate 2 2/3 ÷ 2. Simplify and explain why your answer is reasonable.
4/3
8/3 ÷ 2 = 8/3 × 1/2 = 4/3.
02 · PRACTICE
Your turn
Work in order. Start with the foundations, then build toward explanation and application.
Calculate 1 3/4 ÷ 1/2. Simplify.
Calculate 2 3/4 ÷ 1/2. Simplify.
Calculate 1 1/4 ÷ 1/4. Simplify.
Calculate 3 3/4 ÷ 3 1/2. Simplify.
Calculate 3 3/4 ÷ 2 1/8. Simplify.
Calculate 1 1/2 ÷ 1 1/2. Simplify.
Calculate 3 1/2 ÷ 4. Simplify and explain why your answer is reasonable.
Calculate 4 ÷ 2 1/2. Simplify and explain why your answer is reasonable.
Calculate 1 4/5 ÷ 1 1/2. Simplify and explain why your answer is reasonable.
Calculate 3 ÷ 2 1/4. Simplify and explain why your answer is reasonable.
03 · CHECK
Answers and reasoning
Reveal the teacher answer key
- 7/2
7/4 ÷ 1/2 = 7/4 × 2 = 7/2.
- 11/2
11/4 ÷ 1/2 = 11/4 × 2 = 11/2.
- 5
5/4 ÷ 1/4 = 5/4 × 4 = 5.
- 15/14
15/4 ÷ 7/2 = 15/4 × 2/7 = 15/14.
- 30/17
15/4 ÷ 17/8 = 15/4 × 8/17 = 30/17.
- 1
3/2 ÷ 3/2 = 3/2 × 2/3 = 1.
- 7/8
7/2 ÷ 4 = 7/2 × 1/4 = 7/8.
- 8/5
4 ÷ 5/2 = 4 × 2/5 = 8/5.
- 6/5
9/5 ÷ 3/2 = 9/5 × 2/3 = 6/5.
- 4/3
3 ÷ 9/4 = 3 × 4/9 = 4/3.