Fraction Flip Do Now
Do Now Warm-Up • Page 1 5–7 Minutes
Unit: Rational Numbers • Skill Check
Fraction Flip Challenge
Switch smoothly between mixed numbers and improper fractions.
Name:
Date:
Period:
Mixed → Improper
Multiply denominator by whole, add numerator: \(2\frac{3}{4} = \frac{(4 \times 2) + 3}{4} = \frac{11}{4}\)
Improper → Mixed
Divide numerator by denominator (Remainder = numerator): \(\frac{13}{5} = 13 \div 5 = 2\text{ R}3 = 2\frac{3}{5}\)
1 Convert Each Mixed Number to an Improper Fraction
Write as single fraction
A. \(3\frac{1}{2}\)
=
B. \(2\frac{4}{5}\)
=
C. \(5\frac{2}{3}\)
=
D. \(4\frac{3}{8}\)
=
2 Convert Each Improper Fraction to a Mixed Number
Find quotient and remainder
A. \(\frac{7}{2}\)
=
B. \(\frac{14}{3}\)
=
C. \(\frac{23}{4}\)
=
D. \(\frac{31}{6}\)
=
3 Computation Workspace
Show any division or multiplication work below
4 Brain Teaser: True, False, or Missing?
Think flexibly
Fill in the missing values to make this statement true:
\(2\frac{\underline{\hspace{0.6cm}}}{4} = \frac{11}{4}\)
Missing Numerator:
Which quantity is greater? Circle one and justify:
\(3\frac{3}{4}\) vs \(\frac{16}{4}\)
Why?
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/ 10
Do Now Warm-Up • Page 2 5–7 Minutes
Unit: Rational Numbers • Practice Set B
Fraction Flip Challenge
Independent practice: convert between forms and analyze errors.
Name:
Date:
Period:
Mixed → Improper
\(\text{whole} \times \text{denominator} + \text{numerator}\): \(3\frac{1}{4} = \frac{(4 \times 3) + 1}{4} = \frac{13}{4}\)
Improper → Mixed
\(\text{numerator} \div \text{denominator}\) (remainder over denominator): \(\frac{17}{3} = 17 \div 3 = 5\text{ R}2 = 5\frac{2}{3}\)
1 Convert Each Mixed Number to an Improper Fraction
Write as single fraction
A. \(4\frac{1}{3}\)
=
B. \(3\frac{3}{5}\)
=
C. \(6\frac{1}{4}\)
=
D. \(2\frac{5}{8}\)
=
2 Convert Each Improper Fraction to a Mixed Number
Find quotient and remainder
A. \(\frac{9}{2}\)
=
B. \(\frac{19}{4}\)
=
C. \(\frac{22}{5}\)
=
D. \(\frac{38}{7}\)
=
3 Computation Workspace
Show any division or multiplication work below
4 Spot the Error: Error Analysis
Analyze and correct
Jordan converted \(\frac{23}{5}\):
\(23 \div 5 = 4\text{ R}3 \;\longrightarrow\; 3\frac{4}{5}\)
“I found the quotient and remainder, then wrote my mixed number!”
1. What was Jordan’s mistake?
2. What is the correct mixed number?
How do you feel about this skill?
Need practice Getting there Got it locked!
Score:
/ 10