Question

What is greater 1 4/6 or 1 14/21

Answer 1

The are the same.

Explanation:

Because both begin with a 1, ignore that for now.

You have 4/6 and 14/21. Do your best to reduce each. Think about a number that can go into each.

Start with 4/6. They are both even numbers, so 2. 4/2 = 2 and 6/2 = 3

so 4/6 can be reduced to 2/3.

14/21 is trickier, one is odd and the other is even, so no even number will work. 3 can't go in to 14, or 5, but 7 can, and cool! 7 can go in to 21 as well!

14/7 = 2 21/7 = 3 so 14/21 can be reduced to 2/3!

You can also use a common denominator, but you need a calculator for this problem. To solve that way you would take 4/6 and multiply by 21/21 and you would multiply 14/21 by 6/6, this way you'll end up with 126 on the bottom, and you'll see you get 84 on the top.

`(4)/(6) * (21)/(21) = (84)/(124)`

`(14)/(21) * (6)/(6) = (84)/(124)`

This is much harder without a calculator. Always try and reduce first, because if you end up having to find a common denominator, it will be smaller and more manageable.

Answer 2

They’re the same.

Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.

So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.

1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.