Which fraction 1/4 or 2/7 is bigger?

Answer 1

#2/7>1/4#

We can do this a couple of different ways.

The first is to do the division:

#1/4=0.25# #2/7~=0.29#
And so we know that #2/7# is greater than #1/4#

We can also do it this way:

#1/4, 2/7#
#1/4xx(1), 2/7xx(1)#
#1/4xx(7/7), 2/7xx(4/4)#
#7/28, 8/28#
so we can see that #8/28 > 7/28#, which means that #2/7>1/4#
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Answer 2

So #2/7# is greater

One way to test this to make the bottom numbers the same and then compare the top numbers.

Note that #4xx7=28# so 28 is exactly divisible by each of 4 and 7
#color(green)([1/4color(red)(xx1)] " compered to "[2/7color(red)(xx1)] )#
#color(green)([1/4color(red)(xx7/7)] " compered to "[2/7color(red)(xx4/4)] )#
#" "color(green)([7/28] " compered to "[8/28] )#
So #2/7# is greater
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(red)("For mathematical reasons it is much better to say greater rather than say bigger.")#
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Answer 3

To determine which fraction is larger between ( \frac{1}{4} ) and ( \frac{2}{7} ), we can compare them by finding a common denominator and then comparing the numerators.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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