Fraction Switch Practice Worksheet
Fraction Switch: Part 1
Converting Mixed Numbers to Improper Fractions
Name:
Date:
The "MAD" Strategy Guide
Example: \(2\frac{3}{4} = \frac{11}{4}\)
M
Multiply
Denominator \(\times\) Whole
\(4 \times 2 = 8\)
A
Add
Result \(+\) Numerator
\(8 + 3 = 11\)
D
Denominator
Keep bottom number
stays as \(4\)
Visual Check
4/4 + 4/4 + 3/4
= 11 fourths
A
Guided Step-by-Step Practice
Fill in each guided conversion step.
1. Convert \(3\frac{1}{5}\) Denominator: 5
M: \(5 \times 3 =\)
A: Answer \(+ 1 =\)
Final Fraction:
2. Convert \(4\frac{2}{3}\) Denominator: 3
M: \(3 \times 4 =\)
A: Answer \(+ 2 =\)
Final Fraction:
3. Convert \(1\frac{7}{8}\) Denominator: 8
M: \(8 \times 1 =\)
A: Answer \(+ 7 =\)
Final Fraction:
B
Independent Practice
Show quick calculation steps and box your final fraction.
4. \(2\frac{5}{6}\) Work Area
Answer:
5. \(5\frac{1}{2}\) Work Area
Answer:
6. \(3\frac{4}{7}\) Work Area
Answer:
7. \(6\frac{2}{5}\) Work Area
Answer:
8. \(4\frac{3}{10}\) Work Area
Answer:
9. \(7\frac{1}{3}\) Work Area
Answer:
Self-Check Mystery Riddle
Match your answers to uncover the punchline!
"Why did the improper fraction go to the bakery?"
T: \(\frac{16}{5}\)
O: \(\frac{14}{3}\)
G: \(\frac{15}{8}\)
E: \(\frac{17}{6}\)
T: \(\frac{11}{2}\)
A: \(\frac{25}{7}\)
P: \(\frac{32}{5}\)
I: \(\frac{43}{10}\)
E: \(\frac{22}{3}\)
Decode below
1
2
•
3
4
5
•
6
•
7
8
9
!
Fraction Switch: Part 2
Converting Improper Fractions to Mixed Numbers
Name:
Date:
The Division & Remainder Strategy
Example: \(\frac{14}{4} = 3\frac{2}{4}\)
1
Divide
Numerator \(\div\) Denominator
\(14 \div 4 = 3\text{ R }2\)
2
Quotient
Whole number
Whole = \(3\)
3
Remainder
New top number
Numerator = \(2\)
Assemble Result
3
2 4
Denominator stays \(4\)
C
Guided Step-by-Step Practice
Show the division and write the mixed number.
10. Convert \(\frac{17}{5}\) Divide by 5
\(17 \div 5 =\) R
Whole = quotient, Numerator = remainder
Mixed Number:
11. Convert \(\frac{23}{4}\) Divide by 4
\(23 \div 4 =\) R
Whole = quotient, Numerator = remainder
Mixed Number:
12. Convert \(\frac{19}{6}\) Divide by 6
\(19 \div 6 =\) R
Whole = quotient, Numerator = remainder
Mixed Number:
D
Independent Practice
Compute division in the work area and write your mixed number.
13. \(\frac{29}{8}\) Work Area
Answer:
14. \(\frac{31}{3}\) Work Area
Answer:
15. \(\frac{47}{9}\) Work Area
Answer:
16. \(\frac{37}{7}\) Work Area
Answer:
17. \(\frac{27}{4}\) Work Area
Answer:
18. \(\frac{53}{10}\) Work Area
Answer:
Self-Check Mystery Riddle
Match your answers to uncover the punchline!
"Why did the improper fraction feel so fulfilled?"
M: \(3\frac{2}{5}\)
A: \(5\frac{3}{4}\)
D: \(3\frac{1}{6}\)
E: \(3\frac{5}{8}\)
W: \(10\frac{1}{3}\)
H: \(5\frac{2}{9}\)
O: \(5\frac{2}{7}\)
L: \(6\frac{3}{4}\)
E: \(5\frac{3}{10}\)
Decode below
10
11
12
13
•
14
15
16
17
18
!
