Question

Which fraction is larger `2/3, 4/6`?

Answer 1

They are equal

Explanation:

The easiest way to compare fractions is to give them the same denominator (bottom number). The easiest way to do this is to use the Least Common Factor . To find the Least Common Factor, list all the multiples of each denominator and find the lowest number that they share.

3: 3, `color(red)6`, 9, 12, 15, 18...
6: `color(red)6`, 12, 18, 24, 30...

Let's change the first denominator to 6.
`2/3 xx (2/2) rarr 4/6` (since we had to multiply the bottom by 2 to get 6, we also have to multiply the top by 2)
The second fraction already has a denominator of 6, so all we have left to do is compare them.
`4/6 = 4/6`
They are equal.

Answer 2

`"the fractions are equal"`

Explanation:

`"before we can compare fractions we require them to"`
`"have the same value on the denominator"`

`"to change "2/3" into a fraction with 6 on the denominator"`

`"multiply numerator/denominator by 2"`

`rArr2/3xx2/2=(2xx2)/(3xx2)=4/6`

`"as we can see "2/3=4/6`