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# Algebraic fractions

## on Apr 06, 2011

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Examples and explanation of adding fractions with a common denominator, different denominators, multiplying fractions and dividing fractions.

Examples and explanation of adding fractions with a common denominator, different denominators, multiplying fractions and dividing fractions.

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## Algebraic fractionsPresentation Transcript

• Fractions
• Multiplying
• Dividing
• Add straight across the top (numerators)
𝑦6+2𝑦6=

If the base(denominator) is the same…
• Can it be simplified?
3𝑦6=

• 3÷3𝑦6÷3=

3
• 𝑦6+2𝑦6
= 𝑦+2𝑦6
=3𝑦6
=𝑦2

Simplify
• 𝑦6+2𝑦5=

Make the bases the same
(choose a common denominator)
• Multiply top & bottom by the SAME number.
(changes the look not the fraction)
𝑦×56×5+2𝑦×65×6=

30
• Add straight across the top (numerators).
5𝑦30+12𝑦30=

Now the base (denominator) is the same…
• Can it be simplified?
17𝑦30=

• 𝑦6+2𝑦5
= 𝑦×56×5+2𝑦×65×6
= 5𝑦30+12y30
=17𝑦30

Make denominators the same
Multiply top and bottom by same number
Simplify if you can!
• Multiply straight across the top (numerators)
𝑦2×43𝑥=

Multiply straight across the bottom
(denominators)
Multiply
• Can it be simplified?
4𝑦6𝑥=

• 4÷2𝑦6÷2𝑥=

2
• Multiply numerators,
multiply denominators
𝑦2×43𝑥
= 𝑦×42×3𝑥
= 4𝑦6𝑥
=2𝑦3𝑥

Simplify
• 𝑦2÷43𝑥=

Flip the secondfractionupside down
(invert)
Divide
• Multiply straight across the top (numerators)
𝑦2×3𝑥4=

Multiply straight across the bottom
(denominators)
• Can it be simplified?
3𝑥𝑦8=

• Flip the second fraction
𝑦2÷43𝑥
= 𝑦2×3𝑥4
=𝑦×3𝑥2×4
= 3𝑥𝑦8

Multiply numerators,
multiply denominators
Simplify if you can!