6 Is Greater Than 1
It's a uncomplicated question with a not-then-uncomplicated answer. Is 2 vi greater than ane 3 ? The answer is yes, but it's not every bit straightforward as you might retrieve.
To sympathize why 2 6 is greater than one iii , we need to kickoff empathize what each number represents. 2 6 is two sixths, or 2 parts of a whole that has been divided into six equal parts. 1 3 , on the other hand, is one third, or i part of a whole that has been divided into three equal parts.
Which is greater? 1/3 or 1/iv
This is a difficult question to answer. The all-time manner to approach this question is by using algebra. Past solving for x, nosotros tin see that 2x+half dozen>1x+3 if and only if x>-3/2.
Therefore, ii 6 is greater than 1 three when 10>-3/2, or when -3/2
Is two/half-dozen Less Than 1/three
When it comes to fractions, the answer to this question is a bit more complicated than a unproblematic aye or no. To empathize why, let'southward take a closer look at what each fraction represents. The fraction 2/vi can exist simplified to ane/iii.
This ways that for every two parts of the whole, there is one role that is equal to i/3. On the other hand, one/3 cannot be simplified any further. This ways that for every one part of the whole, in that location is only ane third remaining.
So, when we compare these ii fractions, we can see that 2/vi is actually less than one/iii.
Is 1/3 Equivalent to ii/half dozen
When it comes to fractions, equivalency is key. This means that two fractions are equal if they represent the same value, regardless of how that value is represented. And then, when nosotros ask whether 1/3 is equivalent to 2/vi, we're actually asking whether these ii fractions have the same value.
And the answer is yes! To see why, permit'due south look at a fraction strips. Here's what 1/3 and two/half-dozen look like on a fraction strip:
Every bit you tin can meet, both 1/iii and 2/6 land on the same spot on the number line. Therefore, they must accept the same value. It's also worth noting that 1/3 and ii/6 are both Simplified Forms of 3/9.
In other words, if we were to add up all of the denominators in their Lowest Terms (i + iii = 4 and two + vi = eight), we would get ix. So 3/nine is another style to represent this same value.
Is 1/5 Greater Than 1/3
It'southward a common question that we make it math class: is 1/five greater than ane/3? The answer might seem obvious at starting time, but it's really non so simple. Let'south take a closer look at this question to see why.
When nosotros compare two fractions, we demand to make certain that they have the same denominator. That way, nosotros can direct compare the numerators to come across which fraction is larger. So let's start by changing 1/v into a fraction with a denominator of three.
Nosotros tin can practice this past finding the equivalent fraction: one/5 = 2/15. Now we tin straight compare the numerators: 2 > 1, so we can say that aye, 1/v is greater than 1/three. Only what if nosotros had started with unlike denominators?
For example, let'due south say we're comparing 1/four and ane/half dozen. To make sure they have the aforementioned denominator, we'll find equivalent fractions again: i/4 = 3/12 and i/6 = 2/12. Now when we compare the numerators (3 and two), it's clear that iii > 2 and therefore 1/4 >1 /6 .
Is 2/9 Greater Than 1/3
If you lot're like virtually people, you probably think that ii/9 is greater than one/3. After all, 2 is greater than 1, so information technology stands to reason that 2/9 must be greater than 1/3. Notwithstanding, you'd be wrong!
In fact, 1/3 is really greater than ii/ix. How can this exist? It has to exercise with the style that fractions are calculated.
When yous're dealing with fractions, the number on the peak (the numerator) represents how many parts of the whole you take, while the number on the lesser (the denominator) represents the total number of parts in the whole. And so, in the instance of 2/9 and 1/3, we tin can see that two out of 9 parts is less than 1 out of 3 parts. This may seem like a small distinction, but it's really an of import one to remember when working with fractions.
The side by side time you're trying to figure out whether one fraction is greater than another, make sure to pay attention to both the numerator and denominator!
Is 3/vi Greater Than i/iii
When it comes to fractions, the size of the denominator can have a big touch on which fraction is larger. In full general, a fraction with a smaller denominator volition be larger than a fraction with a bigger denominator. And then in this instance, 3/6 is greater than 1/3.
This is considering 3/6 tin exist simplified to i/2, and 1/iii tin exist simplified to i/6. And we know that 1/2 is larger than 1/half dozen. Therefore, 3/half-dozen must exist greater than i/iii.
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Which is a Bigger Fraction 2/6 Or one 3?
When it comes to fractions, the size of the fraction is determined by the value of the numerator (top number) in relation to the denominator (bottom number). In other words, a fraction similar two/6 is bigger than 1 3 because 2 is greater than 1.
Is 2 Sixths the Same As one Tertiary?
Yeah, two sixths is the same as i third. This is because both fractions are equal parts of a whole. A fraction is a way to represent a office of a whole, and the number on the bottom (the denominator) tells you how many parts the whole is divided into.
The number on the height (the numerator) tells yous how many of those parts you have. So, in this case, two sixths ways you have two out of six parts of the whole. One third ways you have one out of three parts of the whole.
Both fractions are equal because they are both i out of 3 parts of a whole.
What Fraction is Greater ii/3 Or 1 three?
When it comes to fractions, the number on top (the numerator) represents how many parts there are of the whole, while the bottom number (the denominator) tells us how many parts the whole is divided into. Then, a fraction like ii/3 would mean that there are two parts out of iii equal parts making up the whole. A fraction similar 1 3 would tell u.s. that there is one office out of three equal parts making up the whole.
At present, when nosotros want to compare fractions and come across which 1 is greater, nosotros need to await at both the numerators and denominators. In this case, we can see that both fractions take a numerator of two. Simply when we look at their denominators, we run into that 3 is larger than 3 (ane×3=iii).
Therefore, 2/3 is greater than 1 3 .
What Fractions are Greater Than i 3?
When information technology comes to fractions, the number 3 is considered to be a special example. All fractions with a numerator greater than 3 have a value that is greater than 1 3 . This can be seen past looking at a fraction every bit a division problem.
For case, if we take the fraction four 5 , we can see that this is equivalent to 4 ÷ 5 . Since iv is greater than 3, and 5 is not, it follows that the result of this division must exist greater than 1 3 . It should exist noted that at that place are some exceptions to this dominion.
For instance, 2 3 is equal to 2 ÷ 3 , which does requite the states a result of one 3 . Even so, this exception only occurs when the numerator and denominator are both factors of 3. In all other cases, if the numerator is greater than three, the resulting fraction will also be greater than one 3 .
Conclusion
No, 2/6 is not greater than ane/three. In fact, 1/3 is greater than two/6 because when yous divide 1 by 3, yous get a decimal answer of .333…, which is more than the decimal answer of .167..
. that you get when you dissever 2 by 6.
6 Is Greater Than 1,
Source: https://knowhowcommunity.org/is-2-6-greater-than-1-3/
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