Explain how you know that 7/12 is greater than 1/3 but less than 2/3

Answers

Multiply the 3's in 1/3 and 2/3 by 4 to set the denominators equal, then do the same with the numerators.

1/3 = 4/12
7/12
2/3= 8/12
Because, 7/12, is more than half complete, 1/3, is less than half complete, and 2/3 is more complete than both of them. If you want a better answer, im pretty sure you can find a fraction to percentage calculator online.

The easiest way to compare fractions is by having a common denominator for both fractions.

This is because, when the denominator is the same in both fractions, we will simply compare the numerators and the greater fraction will be the one having greater numerator


Part 1:

The first given fraction is \frac{7}{12}

The second given fraction is \frac{1}{3}

We can make the denominator in the second one equal to 12 by multiplying it by 4.

However, to preserve the value of the fraction, we will multiply it by \frac{4}{4}

This will give us:

\frac{1}{3} * \frac{4}{4} = \frac{4}{12}


Now, the two fractions became \frac{4}{12} and \frac{7}{12}


The denominator is the same, so we will compare numerators.

Since 7 is greater than 4, therefore:

\frac{7}{12} is the greater fraction


Part 2:

The first given fraction is \frac{7}{12}

The second given fraction is \frac{2}{3}

We can make the denominator in the second one equal to 12 by multiplying it by 4.

However, to preserve the value of the fraction, we will multiply it by \frac{4}{4}

This will give us:

\frac{2}{3} * \frac{4}{4} = \frac{8}{12}


Now, the two fractions became \frac{8}{12} and \frac{7}{12}


The denominator is the same, so we will compare numerators.

Since 8 is greater than 7, therefore:

\frac{8}{12} is the greater fraction


Hope this helps :)

The easiest way to compare fractions is by having a common denominator for both fractions.

This is because, when the denominator is the same in both fractions, we will simply compare the numerators and the greater fraction will be the one having greater numerator


Part 1:

The first given fraction is \frac{7}{12}

The second given fraction is \frac{1}{3}

We can make the denominator in the second one equal to 12 by multiplying it by 4.

However, to preserve the value of the fraction, we will multiply it by \frac{4}{4}

This will give us:

\frac{1}{3} * \frac{4}{4} = \frac{4}{12}


Now, the two fractions became \frac{4}{12} and \frac{7}{12}


The denominator is the same, so we will compare numerators.

Since 7 is greater than 4, therefore:

\frac{7}{12} is the greater fraction


Part 2:

The first given fraction is \frac{7}{12}

The second given fraction is \frac{2}{3}

We can make the denominator in the second one equal to 12 by multiplying it by 4.

However, to preserve the value of the fraction, we will multiply it by \frac{4}{4}

This will give us:

\frac{2}{3} * \frac{4}{4} = \frac{8}{12}


Now, the two fractions became \frac{8}{12} and \frac{7}{12}


The denominator is the same, so we will compare numerators.

Since 8 is greater than 7, therefore:

\frac{8}{12} is the greater fraction


Hope this helps :)

Step-by-step explanation: You would first have to make them into decimals and then compare the fractions so 7/12= 0.583... 1/3= 0.33 and 2/3= 0.66...

Now compare: 0.583 is greater then 0.33, but 0.583 is less then 0.66. Get it?

it just is..

Step-by-step explanation:


convert all of these to a common denominator:
7/12 , 1/3 , 2/3
---
7/12 = 7/12
1/3 = 4/12
2/3 = 8/12
---
place into compound inequality:
---
(1/3=4/12) < (7/12=7/12) < (2/3=8/12)


7/12
1/3=4/12
2/3=8/12

7/12>1/3
7/12<2/3
7/12 is greater than 1/3 but less than 2/3.
in order to find if this is true, you need to find the common denominator which is 12. in order for 1/3 to have a denominator of 12, you need to multiply by 4. but we all know the rule. whatever we do to the bottom needs to be done to the top, so 1/3 is = 4/12. 7/12 is greater than 4/12. we do the same to 2/3 and multiply the denominator by 4 and the numerator by 4 as well, and the result would be 8/12. if we compare, 7/12 is less than 8/12.

Step-by-step explanation:

7/12 is greater than 1/3 because it has a greater numerator and denominator it is less than 2/3 because the numerator is smaller



Do you know the answer?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019, kallie862
i need on these three questions. find standard form equation of line perpendicular to y = (2/3)x - 8 that goes through the point the equation of a line is -6x-2y=-18 what is the...Read More
1 more answers
ANSWERC) the graph of the inverse of h(x) passes the HLTEXPLANATIONThe given equation is This function has an inverse relation which is also a function because the inverse of h(x)...Read More
3 more answers
Mathematics, 21.06.2019, fheight01
A. median and modeB. MeanC. Meand. Positively skewedStep-by-step explanation:a. Mean = sum of all values / numbers of values = 1804 / 23 = 78.4. this eliminates the mean and leaves...Read More
3 more answers
the value of x is 9 ⇒ answer bstep-by-step explanation: * we can solve this problem using cosine and sine rule- in δ abc∵ ab = 36 , bc = 28 , ac = 16- lets find the measure of angl...Read More
1 more answers