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

2 Answers
Mar 4, 2018

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.

Mar 4, 2018

#"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#