Fraction Bridge Anchor Chart Fraction Transformers
Your Visual Guide to Equivalent Fractions & Decimal Conversions
Equivalent Fractions
Same size & value, just different names!
Visual proof: 1/2 = 2/4 = 4/8
1/2
=
2/4
=
4/8
🌟 THE GOLDEN RULE 🌟
Whatever you do to the top, you must also do to the bottom!
1 MULTIPLY to build LARGER terms
2
3
× 4 ➔ × 4
=
8
12
Multiplied top & bottom by the same number!
2 DIVIDE to SIMPLIFY (smaller terms)
6
10
÷ 2 ➔ ÷ 2
=
3
5
Divided top & bottom by the Greatest Common Factor!
💡 Check with models: If you divide or multiply a shape, the actual amount of shaded space never changes!
Fractions ➔ Decimals
Two paths to transform your number!
A The Place Value Shortcut
If the denominator can easily scale to 10 or 100 :
Step 1: Convert to tenths or hundredths:
3
5
× 2
6
10
Step 2: Say it & write it as a decimal:
"Six Tenths" = 0.6
Ones
.
Tenths
Hund.
B The Division Road (Always Works!)
Divide the Numerator by the Denominator .
Numerator ÷ Denominator
Example: 3 / 4
"Three divided by four"
0.75
4
3.00
- 2 8
20
- 20
0
💡 Pro Tip: Add a decimal and zeros (e.g. 3.00) after the numerator to keep dividing cleanly!
The Shared Number Line
Look at how fractions and decimals land in the exact same spots!
0 0.0 1/10 0.1 1/5 0.2 1/4 0.25 1/2 0.5 3/4 0.75 1 1.0
Classroom Anchor Chart: Equivalent Fractions & Decimals Fraction Transformers Series
Equivalent Fraction Explorer Equivalent Fraction Explorer
Skill 1: Finding Equivalent Fractions • Level: Highly Supported
Name: ________________________
Date: __________
How to Find an Equivalent Fraction:
To build an equivalent fraction, multiply both the numerator (top) and the denominator (bottom) by the same multiplier. The size of the shaded shape stays exactly the same!
1
Find the equivalent fraction:
1
2
=
?
4
1 / 2 Shaded
➔
__ / 4 Shaded
Fill in the multiplier:
1
2
× [ 2 ] ➔ × [ 2 ]
=
__
4
2
Find the equivalent fraction:
2
3
=
?
6
2 / 3 Shaded
__ / 6 Shaded
Fill in the multiplier:
2
3
× [ 2 ] ➔ × [ 2 ]
=
__
6
3
Find the equivalent fraction:
3
5
=
?
10
3 / 5 Shaded
__ / 10 Shaded
Fill in the multiplier:
3
5
× [ 2 ] ➔ × [ 2 ]
=
__
10
Self-Check Station
Count the colored pieces in the second model. Does your calculated answer match?
Yes, they match!
Fraction Transformers Series • Skill 1, Level A Page 1 of 1
Equivalent Fraction Navigator Equivalent Fraction Navigator
Skill 1: Finding Equivalent Fractions • Level: Highly Supported (Number Lines)
Name: ________________________
Date: __________
The Number Line Connection:
Equivalent fractions represent the exact same spot on a number line! Use the matching grids and guidelines to locate the missing numerators.
1 Convert Tenths to Hundredths:
3
10
=
__
100
3 / 10 Shaded
➔
__ / 100 Shaded
Formula:
3
10
× [ 10 ] ➔ × [ 10 ]
=
__
100
2 Map Fifths to Tenths:
2
5
=
__
10
0/5 1/5 2/5 🌟 3/5 4/5 5/5 0/10 2/10 ? /10 6/10 8/10 10/10
Formula:
2
5
× [ 2 ] ➔ × [ 2 ]
=
__
10
3 Convert Halves to Tenths:
1
2
=
__
10
0/2 1/2 🌟 2/2 0/10 2/10 4/10 ? /10 6/10 8/10 10/10
Formula:
1
2
× [ 5 ] ➔ × [ 5 ]
=
__
10
Self-Check Station
Do the points align directly above and below each other? If so, they are equivalent!
Yes, aligned!
Fraction Transformers Series • Skill 1, Level B Page 1 of 1
Equivalent Fraction Builder Equivalent Fraction Builder
Skill 1: Finding Equivalent Fractions • Level: Faded Support (Intermediate)
Name: ________________________
Date: __________
Next step on your journey! Now, you will choose your own multipliers. Multiply the numerator and denominator by the exact same number. Let's build those fractions!
Part A: Follow the Given Multipliers
Apply the multiplier to find the new equivalent fraction.
1 Multiply by 3
2
3
× 3 ➔ × 3
=
2 Multiply by 5
3
4
× 5 ➔ × 5
=
Part B: Discover the Missing Multipliers
Look at the denominators to find the multiplier. Then apply it to the numerator!
3 Find multiplier:
5 × [ ? ] = 10
2
5
× [ __ ] ➔ × [ __ ]
=
10
4 Find multiplier:
10 × [ ? ] = 100
7
10
× [ __ ] ➔ × [ __ ]
=
100
Part C: Real-World Equivalent Fractions
Solve these scenario problems using equivalent fraction calculation.
5
The Pizza Puzzle: Maya's pizza is cut into 5 slices , and she eats 3 slices . Leo's pizza is cut into 10 slices . Maya wants to find the equivalent amount Leo should eat.
Calculation Area
3
5
=
10
6
The Garden Fence: Coach Lopez painted 1/2 of the storage fence. The helper team divided the fence into 8 equal sections . How many sections equal the half that Coach Lopez painted?
Calculation Area
1
2
=
8
Fraction Transformers Series • Skill 1, Level C Page 1 of 1
Equivalent Fraction Mastery Equivalent Fraction Mastery
Skill 1: Finding Equivalent Fractions • Level: Independent Mastery
Name: ________________________
Date: __________
Show what you know! Complete the problems independently. Think about what multiplier was used, and perform the exact same operation on the top and bottom.
Part A: Standard Calculations
Fill in the blank to make the statement true.
1
3
=
9
3
5
=
15
5
10
=
100
2
4
=
16
4
5
=
20
9
10
=
100
Part B: Analyze the Claim
Check if the claim is true or false. Circle your choice.
Claim 1:
3/4 is equivalent to 6/8
TRUE FALSE
Claim 2:
2/5 is equivalent to 4/15
TRUE FALSE
Part C: Independent Word Problem
Solve the problem below. Write your final answer in the box provided.
The Athletic Field: Coach Miller is dividing a training field. Section A covers 3/10 of the field. He wants to subdivide Section A so it has a denominator of 100 . What is the equivalent fraction?
Show Your Work:
Final Answer:
/ 100
Fraction Transformers Series • Skill 1, Level D Page 1 of 1
Decimal Grid Guide Decimal Grid Guide
Skill 2: Fractions to Decimals • Level: Highly Supported (Grids)
Name: ________________________
Date: __________
The Place Value Trick:
Say the fraction out loud! For example, 4/10 is said as "four tenths." This means you put a 4 in the tenths spot on the place value chart. Easy as pie!
1
Convert to Decimal:
6
10
=
0. __
"Six Tenths"
6 / 10 Columns Shaded
Place Value Chart
ONES 0
.
TENTHS __
2
Convert to Decimal:
45
100
=
0. __
"Forty-Five Hundredths"
45 / 100 Squares Shaded
Place Value Chart
ONES 0
.
TENTHS __
HUND. __
3
Convert to Decimal:
8
100
=
0. __
"Eight Hundredths"
8 / 100 Squares Shaded
Place Value Chart
ONES 0
.
TENTHS __
HUND. __
Self-Check Station
Is 8/100 written as 0.8 or 0.08? Say the words out loud to make sure!
Checked!
Fraction Transformers Series • Skill 2, Level A Page 1 of 1
Decimal Division Explorer Decimal Division Explorer
Skill 2: Fractions to Decimals • Level: Highly Supported (Division Path)
Name: ________________________
Date: __________
The Division Road (Numerator ÷ Denominator):
When a denominator cannot easily scale to 10 or 100, divide the top by the bottom ! Put a decimal point and zeros (like 1.0 or 3.00) after the numerator to keep dividing.
1
Convert to Decimal:
1
2
=
0. __
Divide: 1 ÷ 2
Division House
0 . _
2
1 . 0
- 1 . 0
0
Number Line Proof
1/2 0.5
2
Convert to Decimal:
3
4
=
0. __
Divide: 3 ÷ 4
Division House
0 . _ _
4
3 . 0 0
- 2 . 8
2 0
- 2 0
0
Number Line Proof
3/4 0.75
3
Convert to Decimal:
2
5
=
0. __
Divide: 2 ÷ 5
Division House
0 . _
5
2 . 0
- 2 . 0
0
Number Line Proof
2/5 0.4
Self-Check Station
Do the points on your number line match the placement of your division answers?
Yes, indeed!
Fraction Transformers Series • Skill 2, Level B Page 1 of 1
Decimal Conversion Builder Decimal Conversion Builder
Skill 2: Fractions to Decimals • Level: Faded Support (Intermediate)
Name: ________________________
Date: __________
Keep moving forward! Use the place value path when you have tenths or hundredths, or use division brackets when you need to solve manually. Show your steps below!
Part A: The Tenths & Hundredths Bridge
Scale up the denominator to 10 or 100 first, then write the decimal.
1 Convert: 3/5
3
5
× 2 ➔ × 2
=
__
10
=
0 . __
2 Convert: 7/20
7
20
× 5 ➔ × 5
=
__
100
=
0 . __
Part B: The Division Houses
Complete the division steps. Write the quotient as your decimal answer.
3 Convert: 1/4
1 ÷ 4 = 0. ___
4
1 . 0 0
- 8
2 0
- 2 0
0
4 Convert: 3/5
3 ÷ 5 = 0. ___
5
3 . 0
- 3 0
0
Part C: Match-Up Challenge
Match the equivalent fractions and decimals. Draw lines connecting the pairs.
Fractions
1 / 10
1 / 2
3 / 4
Match
Decimals
0.5
0.75
0.1
Fraction Transformers Series • Skill 2, Level C Page 1 of 1
Decimal Conversion Mastery Decimal Conversion Mastery
Skill 2: Fractions to Decimals • Level: Independent Mastery
Name: ________________________
Date: __________
Show what you know! Complete the conversion problems independently. Use any of the strategies you've learned (division or scaling) on scratch paper, and write your final decimals.
Part A: Standard Conversions
Convert each fraction into its equivalent decimal value.
1
5
=
3
4
=
9
10
=
45
100
=
2
5
=
1
2
=
Part B: True or False Conversion Checks
Read each conversion. Circle whether it is correct (TRUE) or incorrect (FALSE).
1/4 = 0.4
TRUE FALSE
3/10 = 0.3
TRUE FALSE
4/5 = 0.8
TRUE FALSE
Part C: Independent Word Problem
Solve the problem below. Write your final answer in the box provided.
The Rain Gauge: On Tuesday, the science lab rain gauge showed that 1/5 of an inch of water was collected. What is 1/5 written as a decimal value?
Show Your Work:
Final Answer:
0 .
Fraction Transformers Series • Skill 2, Level D Page 1 of 1
