Which fraction is larger 2/3, 4/623,46?

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)66, 9, 12, 15, 18...
6: color(red)66, 12, 18, 24, 30...

Let's change the first denominator to 6.
2/3 xx (2/2) rarr 4/623×(22)46 (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 = 4/646=46
They are equal.

Mar 4, 2018

"the fractions are equal"the fractions are equal

Explanation:

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

"to change "2/3" into a fraction with 6 on the denominator"to change 23 into a fraction with 6 on the denominator

"multiply numerator/denominator by 2"multiply numerator/denominator by 2

rArr2/3xx2/2=(2xx2)/(3xx2)=4/623×22=2×23×2=46

"as we can see "2/3=4/6as we can see 23=46