Mastering Fractions and Decimals Grade 5 Math

This engaging Grade 5 math guide covers everything students need to understand fractions and decimals with clarity and confidence.
From simplifying fractions and finding equivalent forms to converting fractions into decimals and comparing values, this SlideShare PDF is designed for students, parents, and teachers looking for easy explanations and visual learning support.

1. MATHEMATICS
5th Grade
FRACTIONS AND
DECIMALS
FRACTIONS AND
DECIMALS
.21.21
Understanding Numbers Beyond
Whole Numbers

2. LEARNING OBJECTIVES
Identify fractions and decimals.
Convert fractions to decimals and decimals to
fractions.
Perform basic operations with fractions and
decimals.
Apply fractions and decimals in real-life
situations.
1
2
3
4

3. FRACTION
a fraction is a way of representing a part of a
whole or a ratio between two quantities.
Example:
In a Pizza Pie: If you have 1 out of
10 slices → 1/10.
Numerator → number of parts taken
Denominator → total equal parts
Parts of Fraction:
1
__
2

4. 2
__
5 PROPER 7
__
3 IMPROPER 3
__
4 MIXED
TYPES OF FRACTIONS1

5. DECIMAL
decimal is another way of writing fractions, especially those
with denominators like 10, 100, 1000, etc.
Example:
0.5 =
Tenths (0.1), Hundredths (0.01), Thousandths (0.001)
Place values:5
__
10
= 1
__
2

6. FRACTIONS TO DECIMALS
a fraction to a decimal means dividing the numerator (top
number) by the denominator (bottom number).
Examples:
11
__
2
= 1÷2 =
23
__
4
= 3÷4 =
0.5
0.75

7. DECIMALS TO FRACTIONS
a decimal to a fraction means writing the decimal number as a
fraction with denominator 10, 100, 1000.
Example:
15
__
10 = 0.5 1
__
2
SIMPLIFY
Example:
275
__
100 = 0.75 3
__
4
SIMPLIFY

8. 1 2
COMPARING FRACTIONS AND DECIMALS
To compare fractions and decimals, we need to change both into
the same form (either both as decimals, or both as fractions).
If both are decimals → compare directly.
If both are fractions → compare by finding common denominators.
Example 1: Compare 1/2 and 0.6
Change 1/2 into decimal 1
__
2 = 0.5 Compare: 0.5 < 0.61
__
2 < 0.6

9. REAL-LIFE APPLICATIONS
1. Money and Shopping
Prices often use decimals: e.g., $2.50, $9.99
Discounts use fractions: “Half price” = 1/2
Example: A $20 shirt with 25% discount → fraction 1/4 → pay
$15.
Fractions and decimals are used in:
2. Cooking and Recipes
Ingredients are in fractions: ½ cup of sugar, ¾ teaspoon of
salt.
You may need to convert them to decimals when adjusting
recipes.
Example: 0.25 liters of milk = 1/4​ liter

10. PRACTICE AND WRAP-UP
Convert 2/5 to decimal.
Convert 0.4 to fraction.
Compare: Which is larger, 0.75 or 7/10?
You drank 0.5 liter of water. Write it as a fraction.
Practice Problems:
Why is it important to learn both fractions and decimals?
Wrap-up question

11. THANK YOU FOR
WATCHNING!
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