• Adding with Common Denominators

• Adding with Different Denominators

• Multiplying

• Dividing

Fractions

𝑦6

+2 𝑦6

=¿

If the base (denominator) is the same…

Add straight across the top (numerators)

Add/Subtract Common Denominators

3 𝑦6

=¿

Can it be simplified?

3÷ 3 𝑦6÷3

=¿

3

=

Add the numerators

Simplify

𝑦6

+2 𝑦5

=¿

Make the bases the same

(choose a common denominator)

Add/Subtract Different Denominators

Multiply top & bottom by the SAME number.

(changes the look not the fraction)

30

5 𝑦30

+12 𝑦30

=¿

Now the base (denominator) is the same…

Add straight across the top (numerators).

17 𝑦30

=¿

Can it be simplified?

=

Make denominators the same

Simplify if you can!

Multiply top and bottom by same number

Add the numerators

𝑦2×43 𝑥

=¿

Multiply straight across the top (numerators)

Multiply

Multiply straight across the bottom

(denominators)

4 𝑦6𝑥

=¿

Can it be simplified?

4÷ 2𝑦6÷ 2𝑥

=¿

2

=

Multiply numerators,

multiply denominators

Simplify

𝑦2÷43 𝑥

=¿

Divide

Flip the second fraction upside down

(invert)

𝑦2×3 𝑥4

=¿

Multiply straight across the top (numerators)

Multiply straight across the bottom

(denominators)

3𝑥𝑦8

=¿

Can it be simplified?

=

Flip the second fraction

Simplify if you can!

Multiply numerators,

multiply denominators