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MaRussiya [10]
3 years ago
11

Is 1/8 greater less or equal than 5/6

Mathematics
2 answers:
pantera1 [17]3 years ago
4 0

Answer:

1/8 is less than 5/6.

Step-by-step explanation:

Hello!

Alright so the first thing we need to do here is make the bottom part of both fraction (the denominator) the same number.

To do this we need to find the GCF of the denominators (Greatest common factor of 8 and 6)

So basically what does 8 and 6 both go into equally and what do we need to multiply by to get there.

In this case 16 is a good number. Since 8 goes into 16 as well 6 goes into 18.

But what we need to multiply by is different.

For the 8 we need to multiply both numbers in the fraction by 2 to get to 16.

Like so:

1/8

1 x 2

8 x 2

=

2/18

Now we can do the same thing for the fraction but instead use 3 because you need to multiply 6 x 3 to find 18.

Like so :

5/6

5 x 3

6 x 3

=

15/18

So now we have two fractions that have the same bottom number and now we can just go off the numerators (top number) and see which one is larger.

So 1/8 = 2/18

So 5/6 = 15/18

So going off that you can see 2/18 is less than 15/18 and conclude that 1/8 is less than 5/6.

I hope this helps!

If you have any questions or concerns do message me or comment!

cluponka [151]3 years ago
3 0

1/8 is less than 5/6

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C

Step-by-step explanation:

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2. Irene wants to list the factors for 88. She
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3 years ago
Read 2 more answers
If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

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Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

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Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

4 0
3 years ago
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