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3 years ago

A certain fraction is greater than 2. The denominator is 8. What must be true about the numerator?

Mathematics

1 answer:

Volgvan3 years ago

5 0

Answer:

The numerator must be greater than 16

Step-by-step explanation:

We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;

x/y > 2

We are further told that the denominator is 8.

Thus;

x/8 > 2

Multiply both sides by 8 to give;

x > 16

Thus,the numerator must be greater than 16.

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Write <br> 108<br> 13<br> as a mixed number.

gayaneshka [121]

Answer:

8 4/13 Is the Correct Answer!

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 108/13, the numerator is 108.

Denominator. This is the number below the fraction line. For 108/13, the denominator is 13.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 108/13 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

108/13= 8.3076923076923 = 8

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (8) and multiply it by the original denominator (13). The result of that multiplication is then subtracted from the original numerator:

108 - (13 x 8) = 4

Step 3: Our mixed fraction

We've now simplified 108/13 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

Step 4: Simplifying our fraction

In this case, our fraction (4/13) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 4 and 13 is 1.

xXxAnimexXx

6 0

3 years ago

Read 2 more answers

What is 5 squared plus 2 cubed

SIZIF [17.4K]

5 squared is 5x5. And 2 cubed is 2x2x2. So, the answer would be 200.

6 0

3 years ago

Let f(x)=x^2 and g(x)=x-2. Find (fog)(-3).

Mnenie [13.5K]

Answer:

Step-by-step explanation:

(x-2)^2

x^2-4x+4

-3^2-4(-3)+4=7

4 0

3 years ago

What does negative x minus x minus 3x minus 4x equals to?

Fittoniya [83]

-x - x - 3x - 4x

Let's start from left to right. First do -x - x, which is -2x.

-2x - 3x - 4x

Now do -2x - 3x, which is -5x.

-5x - 4x = -9x

-9x is your answer.

8 0

3 years ago

I need help. Someone please help. The second and third picture are to the same problem. Just please help me I'm dumb.

kirill115 [55]

By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.

Step-by-step explanation:

Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.

To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 = 317.15 K.

To convert °F, we have the formula (112°F − 32) × ( $\frac{5}{9}$ ) + 273.15, so

110 °F = (110 - 32) × ( $\frac{5}{9}$ ) + 273.15 = 316.483 K,

112 °F = (112 - 32) × ( $\frac{5}{9}$ ) + 273.15 = 317.594 K.

Step 2; By rewriting all the values on the same unit, we get;

Sample A = 317.15 K,

Sample B = 320 K,

Sample C = 316.483 K,

Sample D = 310 K,

Sample E = 317.594.

The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.

5 0

3 years ago