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Finger [1]
3 years ago
5

How do you reduce a ratio?

Mathematics
2 answers:
KIM [24]3 years ago
8 0

How to Simplify a Ratio A : B when A and B are both whole numbers

List the factors of A

List the factors of B

Find the greatest common factor of A and B, GCF(A, B)

Divide A and B each by the GCF

Use the whole number results to rewrite the ratio in simplest form

If the GCF = 1 then the ratio is already in simplest form.

How to Simplify a Ratio A : B when A and B are not whole numbers, in this order

If A or B are mixed numbers convert mixed numbers to improper fractions

If A or B are decimal numbers multiply both values by the same factor of 10 that will eliminate all decimal places

If one value is a fraction and the other a whole number, reduce the fraction to a whole number if you can or turn the whole number into a fraction by giving it a denominator of 1.

If both A and B are fractions and have like denominators, multiply both fractions by the denominator to eliminate it and you are left with two whole numbers

If both A and B are fractions and have unlike denominators, find the LCD(A, B) and rewrite the fractions with the LCD as the denominator. Multiply both fractions by the denominator to eliminate it and you are left with two whole numbers

If both A and B are whole numbers, Find the greatest common factor of A and B, GCF(A, B), and divide A and B each by the GCF

Example: Simplify the ratio 6 : 10

The factors of 6 are: 1, 2, 3, 6

The factors of 10 are: 1, 2, 5, 10

Then the greatest common factor of 6 and 10 is 2

Divide both terms by 2

6 ÷ 2 = 3

10 ÷ 2 = 5

Rewrite the ratio using the results. The simplified ratio is 3 : 5.

6 : 10 = 3 : 5 in simplest form

OlgaM077 [116]3 years ago
6 0

Answer:

List the factors of A.

List the factors of B.

Find the greatest common factor of A and B, GCF(A, B)

Divide A and B each by the GCF.

Use the whole number results to rewrite the ratio in the simplest form.

Step-by-step explanation:

I hope this helps!!!

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Softa [21]

Answer:

Each student gets 0.3 liters or 300 milliliters of orange juice.

Step-by-step explanation:

3 liters = 3000 milliliters

3L/10 or 3000ml/10 = 0.3 L or 300 ml

7 0
2 years ago
-3x+4=-17<br>show how you did it
Oxana [17]
-3x+4=-17
subtract -4 from both sides
divide -3 from both sides
the answer is 7
8 0
3 years ago
Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)
vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

d =   \sqrt{ ({ - 3 - 1})^{2}  +  ({2 + 6})^{2} }   \\  =  \sqrt{ ({ - 4})^{2} +  {8}^{2}  }  \\  =  \sqrt{16 + 64}  \\  =  \sqrt{80}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 4 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 8.9442719...

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

6 0
2 years ago
If g(x) is the inverse of f(x) and f(x) = 4x+12, what is g(x)?
prohojiy [21]

Answer:

D

Step-by-step explanation:

y=4x+12

x=4y+12

x-12=4y

1/4x-3

4 0
2 years ago
Which graph represents y = |xl?<br> A<br> B<br> C<br> D
zheka24 [161]

Answer:

B

Step-by-step explanation:

The equation represented in the question is the parent absolute value question. If you know the different parent functions, then the answer is obvious because absolute value equations always form a V. However, if you do not do this then you can create a table and plugin values. Plugin numbers like 0, -1, and 1 for X and solve for Y. Finally, graph these points and see what graph best fits. If needed you can also plug in more points.

5 0
3 years ago
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