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PPT – MATH 6 Intro to Fractions! PowerPoint presentation | free to download - id: 74d645-YzQ1N

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MATH 6 Intro to Fractions!

- Anatomy of the fraction...
- Numerator
- Denominator
- Name the different types of fractions

- The term above the line in a fraction. The

numerator tells how many parts are being talked

about or considered. - The number below the line in a fraction. The

denominator indicates what kind or size of parts

the numerator counts. - Improper
- Proper
- Mixed Numbers

What are Fractions?

- Name the operation happening between the

numerator and the denominator in a fraction. - Division!
- Therefore when we name a fraction like 3/4, we

would say - three fourths
- three out of 4
- three divided by four
- 34
- Three to Four

Proper Fractions

- Proper Fractions
- Simplifying Proper Fractions

- Fractions where the numerator is less than the

denominator - The value is less than one.
- Find the largest number you can divide into BOTH

numerator and denominator (also known as the

GCF).

Examples of SimplifyingProper Fraction

- Example 1
- Simplify 6/8.

- What is the GCF?
- Divide both numerator and denominator by the GCF.
- Answer 3/4

Simplifying Proper Fractions

- Examples 2 and 3
- Simplify 9/15
- Simplify 6/20

- What is your GCF?
- Divide numerator and denominator by the GCF.
- Solutions
- 9/15 3/5
- 6/20 3/10

Examples of SimplifyingProper Fraction

- Example 2
- Simplify 12/36

- What is the GCF?
- Divide both numerator and denominator by the GCF.
- Answer 1/3

Improper Fractions

- Improper Fractions
- Converting Improper Fractions into Mixed Numbers

- Fractions where the numerator is LARGER THAN the

denominator. - The value is greater than or equal to 1.
- Divide the numerator by the denominator.
- The remainder (if there is one) becomes the

numerator of the mixed number.

Converting Improper Fractions into Mixed Numbers

- Improper Fractions to Mixed Numbers
- Example 1
- What kind of fraction is 26/5?

- Improper fractions in simplest form do NOT have a

GCF and we can turn them into mixed numbers - Divide numerator 26 by denominator 5
- 26 ? 5 5
- Remainder is 1
- Answer 5 1/5

Converting Mixed Numbers to Improper Fractions

- Mixed Number
- Changing a mixed number into an improper fraction

- The sum of WHOLE NUMBER and a PROPER FRACTION.
- 2 3/4 2 3/4
- 3 1/4 3 1/4
- Multiply the whole number by the denominator.
- Add the numerator to this product.
- Denominator stays the same

Converting Mixed Numbers to Improper Fractions

- Example 1
- 4 3/4

- Multiply the whole number by the denominator
- 4 x 4 16
- Now, add the numerator to this product and the

denominator stays the same - 16 3 19
- Answer 19/4

Converting Mixed Numbers to Improper Fractions

Examples

- Example 2
- 2 4/5
- Example 3
- 5 2/7

- Answer to 2
- 2 x 5 10
- 10 4 14
- 14/5
- Answer to 3
- 5 x 7 35
- 35 2 37
- 37/7