Fraction Practice 11/3/26
Page 1 • Foundations Fraction Builders
Name:
Date:
Numerator & Denominator
Identify, circle, and box the key parts of each fraction.
The Two Parts of a Fraction
Numerator (Top Number): Tells how many equal parts you have or are shaded.
Denominator (Bottom Number): Tells the total number of equal parts in the whole.
Circle Numerator
3
4
Box Denominator
A
Circle the Numerator & Draw a Box Around the Denominator
3
5
7
8
1
4
5
6
9
10
2
3
B
Write the Fraction for Each Model (Then Circle Numerator & Box Denominator)
7. Strip Model (Shaded Parts out of Total):
Fraction:
8. Set Grid (Shaded Parts out of Total):
Fraction:
C
Real-World Meaning: Explain the Fraction 7/10
The numerator 7 means:
The denominator 10 means:
Fraction Mastery Workbook • Practice 1 Page 1 of 5
Page 2 • Number Lines Partitioning & Labeling
Name:
Date:
Fractions on Number Lines
Fill out the two number lines below and make sure to label 6/6.
Number Line Rule: The space from 0 to 1 represents 1 whole unit. Count equal spaces between 0 and 1 to find your denominator. When all parts are counted, 6/6 = 1 whole.
1
Number Line A: Sixths (0 to 1)
Must Label: 6/6
Write the missing fraction in each box above the tick marks. Label 6/6 directly at 1!
0
0 1
Why does the fraction 6/6 sit on the exact same mark as the whole number 1?
2
Number Line B: Eighths (0 to 1)
8 Equal Intervals
Fill in the blank boxes along the eighths number line below:
0
2/8
4/8
6/8
0 1
Which fraction is located exactly halfway between 0 and 1 on Number Line B?
Key Takeaway: When the numerator matches the denominator, the value is always 1 whole!
6/6 = 1
Fraction Mastery Workbook • Practice 2 Page 2 of 5
Page 3 • Extending Past 1 Improper Fractions
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Date:
Going Past One Whole
Keep moving along the number line into improper fractions greater than 1.
What is an Improper Fraction? When the numerator is greater than or equal to the denominator (like 5/4 or 7/4), its value is 1 or greater. Keep going right past 1!
1
Fourths Number Line: From 0 to 2 Wholes
Fourths Intervals
Fill out each blank box as you travel from 0 past 1 and all the way to 2:
0/4
0 Proper (< 1) 1 Whole Improper (> 1) 2 Wholes
2
Sort Fractions from Your Number Line
Less than 1 (< 1)
List proper fourths:
Equal to 1 (= 1)
Sits right at 1 whole:
Greater than 1 (> 1)
List improper fourths:
3
Number Line Reasoning
a. How many fourths does it take to reach exactly 2 whole units?
b. Between which two whole numbers is 6/4 located on the number line?
Fraction Mastery Workbook • Practice 3 Page 3 of 5
Page 4 • Benchmark 1 Equivalence & Comparison
Name:
Date:
Equivalence & Comparing to 1
Discover what 5/5 is equivalent to, and decide if 8/7 is bigger or less than 1.
1
5/5 Equivalence: What Fraction is 5/5 Equivalent To?
The fraction 5/5 means 5 parts out of 5, which equals 1 whole unit.
a. 5/5 is equivalent to what whole number?
b. Write 3 other fractions equivalent to 5/5:
c. Fill in the missing numbers so each fraction equals 5/5:
5/5 =
8
5/5 =
10
5/5 =
12
5/5 =
100
2
The 8/7 Showdown: Is 8/7 Bigger or Less than 1?
Fact: How many sevenths make exactly 1 whole?
Circle your conclusion: Is 8/7 bigger or less than 1?
BIGGER THAN 1 LESS THAN 1
Explain your mathematical reasoning:
3
Comparison Arena: Write <, >, or =
8/7
1
5/5
1
6/7
1
8/7
5/5
4/4
5/5
3/5
5/5
Fraction Mastery Workbook • Practice 4 Page 4 of 5
Page 5 • Advanced Skills Common Denominators
Name:
Date:
Least Common Denominator
Find the LCD to rewrite fractions with matching denominators.
Steps to Find the LCD: Example for 1/3 and 1/4 LCD = 12
1. Multiples
Multiples of 3: 3, 6, 9, 12...
Multiples of 4: 4, 8, 12...
2. Smallest Match
The smallest common multiple is 12.
LCD = 12
3. Equivalents
1/3 × (4/4) = 4/12
1/4 × (3/3) = 3/12
1
Find the LCD & Write Equivalent Fractions
Problem A: Fractions 1/2 and 2/5
LCD:
Multiples of 2:
Multiples of 5:
1/2 =
2/5 =
Problem B: Fractions 2/3 and 5/6
LCD:
Multiples of 3:
Multiples of 6:
2/3 =
5/6 =
2
Math Detective: Common vs. Least Common
Leo says the common denominator for 1/4 and 1/6 is 24 because 4 × 6 = 24. Maya says the Least Common Denominator is 12.
Is 24 a common denominator? Why?
Who found the LEAST common denominator?
Fraction Mastery Workbook • Practice 5 Page 5 of 5
