Fractions: ordering, simplifying, adding, subtracting, mixed numbers, fractions of quantities
Standard 6 Mathematics: Fractions
Module 1: Numbers and Operations — Lesson 1.3: Ordering, comparing, converting and operating with fractions.
Slide 1 / 10
Welcome 🍕
Today we learn fractions
A fraction shows part of a whole.
In this lesson, we shall learn how to:
order fractions, compare fractions, write fractions in lowest terms, convert fractions and decimals, add and subtract fractions, work with mixed numbers, and find fractions of quantities.
In this lesson, we shall learn how to:
order fractions, compare fractions, write fractions in lowest terms, convert fractions and decimals, add and subtract fractions, work with mixed numbers, and find fractions of quantities.
Today we learn fractions.
A fraction shows part of a whole.
We shall order, compare, convert, add, subtract and multiply fractions.
🍕 🧁 📏
Fractions help us share, measure and compare parts of a whole.
By the end of this lesson, you should solve fraction problems confidently.
Ordering Fractions
Order proper fractions with different denominators
To order fractions with different denominators, first change them to equivalent fractions with the same denominator.
Then compare the numerators.
Example: Order
12,
14,
38
from smallest to largest.
12
=
48,
14
=
28,
38
=
38
So the order is:
1/4, 3/8, 1/2
Which order is correct from smallest to largest?
1/6, 1/3, 1/2
1/2, 1/3, 1/6
1/3, 1/6, 1/2
Lowest Terms
Express fractions in their lowest term
A fraction is in lowest terms when the numerator and denominator cannot be divided by the same number except 1.
Divide the numerator and denominator by their Highest Common Factor.
Example:
1218
The HCF of 12 and 18 is 6.
The HCF of 12 and 18 is 6.
12 ÷ 618 ÷ 6
=
23
Write 15/25 in lowest terms.
Fraction Patterns
Develop fractional patterns and sequences
A fractional pattern follows a rule, just like a number pattern.
Look at how the numerator or denominator changes.
1/8
2/8
3/8
?
5/8
The numerator increases by 1 each time. The missing fraction is 4/8.
Complete the sequence: 1/10, 2/10, 3/10, ?, 5/10
Comparing Fractions
Use =, < and > to compare fractions
When denominators are the same, compare the numerators.
When denominators are different, use equivalent fractions or cross multiplication.
3/4
5/8
3/4 = 6/8, and 6/8 is greater than 5/8. Therefore, 3/4 > 5/8.
Choose the correct symbol: 2/3 ___ 3/6
>
<
=
Fractions and Decimals
Express proper fractions as decimals and decimals as proper fractions
To write a fraction as a decimal, divide the numerator by the denominator.
To write a decimal as a fraction, use tenths, hundredths or thousandths.
Fraction to Decimal
1/4 = 1 ÷ 4 = 0.25
Decimal to Fraction
0.75 = 75/100 = 3/4
Write 1/5 as a decimal.
Write 0.4 as a proper fraction in lowest terms.
Improper Fractions and Decimals
Express improper fractions as decimals and decimals as improper fractions
An improper fraction has a numerator greater than or equal to the denominator.
To change an improper fraction to a decimal, divide the numerator by the denominator.
Example:
72
=
7 ÷ 2 = 3.5
Example:
2.25 = 225/100 = 9/4
Write 9/4 as a decimal.
Write 1.5 as an improper fraction.
Adding and Subtracting Fractions
Add and subtract fractions with different denominators
Find a common denominator.
Change each fraction to an equivalent fraction.
Add or subtract the numerators.
Simplify the answer where possible.
Example:
13
+
16
=
26
+
16
=
36
=
12
Add: 1/4 + 1/2
Subtract: 5/6 - 1/3
Mixed Numbers and Fractions of Quantities
Add mixed numbers and use a fraction as an operator
A mixed number has a whole number and a fraction.
A fraction can also be used to find part of a quantity.
Mixed Numbers
1 1/4 + 2 1/4 = 3 2/4 = 3 1/2
Fraction of a Quantity
1/4 of 20 = 20 ÷ 4 = 5
Find 3/5 of 25.
Calculate: 2/3 × 12
Final Quiz
Check your understanding
1. 6/8 in lowest terms is...
2. 1/2 as a decimal is...
3. 1/4 + 1/4 =
4. 3/4 ___ 2/4
5. 1/3 of 18 is...
Great work! You have completed Lesson 1.3: Fractions.
Standard 6 Mathematics: Fractions
Module 1: Numbers and Operations — Lesson 1.3: Ordering, comparing, converting and operating with fractions.
Slide 1 / 10
Welcome 🍕
Today we learn fractions
A fraction shows part of a whole.
In this lesson, we shall learn how to:
order fractions, compare fractions, write fractions in lowest terms, convert fractions and decimals, add and subtract fractions, work with mixed numbers, and find fractions of quantities.
In this lesson, we shall learn how to:
order fractions, compare fractions, write fractions in lowest terms, convert fractions and decimals, add and subtract fractions, work with mixed numbers, and find fractions of quantities.
Today we learn fractions.
A fraction shows part of a whole.
We shall order, compare, convert, add, subtract and multiply fractions.
🍕 🧁 📏
Fractions help us share, measure and compare parts of a whole.
By the end of this lesson, you should solve fraction problems confidently.
Ordering Fractions
Order proper fractions with different denominators
To order fractions with different denominators, first change them to equivalent fractions with the same denominator.
Then compare the numerators.
Example: Order
12,
14,
38
from smallest to largest.
12
=
48,
14
=
28,
38
=
38
So the order is:
1/4, 3/8, 1/2
Which order is correct from smallest to largest?
1/6, 1/3, 1/2
1/2, 1/3, 1/6
1/3, 1/6, 1/2
Lowest Terms
Express fractions in their lowest term
A fraction is in lowest terms when the numerator and denominator cannot be divided by the same number except 1.
Divide the numerator and denominator by their Highest Common Factor.
Example:
1218
The HCF of 12 and 18 is 6.
The HCF of 12 and 18 is 6.
12 ÷ 618 ÷ 6
=
23
Write 15/25 in lowest terms.
Fraction Patterns
Develop fractional patterns and sequences
A fractional pattern follows a rule, just like a number pattern.
Look at how the numerator or denominator changes.
1/8
2/8
3/8
?
5/8
The numerator increases by 1 each time. The missing fraction is 4/8.
Complete the sequence: 1/10, 2/10, 3/10, ?, 5/10
Comparing Fractions
Use =, < and > to compare fractions
When denominators are the same, compare the numerators.
When denominators are different, use equivalent fractions or cross multiplication.
3/4
5/8
3/4 = 6/8, and 6/8 is greater than 5/8. Therefore, 3/4 > 5/8.
Choose the correct symbol: 2/3 ___ 3/6
>
<
=
Fractions and Decimals
Express proper fractions as decimals and decimals as proper fractions
To write a fraction as a decimal, divide the numerator by the denominator.
To write a decimal as a fraction, use tenths, hundredths or thousandths.
Fraction to Decimal
1/4 = 1 ÷ 4 = 0.25
Decimal to Fraction
0.75 = 75/100 = 3/4
Write 1/5 as a decimal.
Write 0.4 as a proper fraction in lowest terms.
Improper Fractions and Decimals
Express improper fractions as decimals and decimals as improper fractions
An improper fraction has a numerator greater than or equal to the denominator.
To change an improper fraction to a decimal, divide the numerator by the denominator.
Example:
72
=
7 ÷ 2 = 3.5
Example:
2.25 = 225/100 = 9/4
Write 9/4 as a decimal.
Write 1.5 as an improper fraction.
Adding and Subtracting Fractions
Add and subtract fractions with different denominators
Find a common denominator.
Change each fraction to an equivalent fraction.
Add or subtract the numerators.
Simplify the answer where possible.
Example:
13
+
16
=
26
+
16
=
36
=
12
Add: 1/4 + 1/2
Subtract: 5/6 - 1/3
Mixed Numbers and Fractions of Quantities
Add mixed numbers and use a fraction as an operator
A mixed number has a whole number and a fraction.
A fraction can also be used to find part of a quantity.
Mixed Numbers
1 1/4 + 2 1/4 = 3 2/4 = 3 1/2
Fraction of a Quantity
1/4 of 20 = 20 ÷ 4 = 5
Find 3/5 of 25.
Calculate: 2/3 × 12
Final Quiz
Check your understanding
1. 6/8 in lowest terms is...
2. 1/2 as a decimal is...
3. 1/4 + 1/4 =
4. 3/4 ___ 2/4
5. 1/3 of 18 is...
Great work! You have completed Lesson 1.3: Fractions.
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