Are the ratios 6:2 and 9:3 equivalent? - The Computers & Internet

ratios 4:3 and 20:15 are equivalent. If you equate them into fractions it will look like this. 4/3=20/15. if you multiply 4/3 to 5/5 the answer would be 20/15. Therefore, they are equivalent ratios.

1 1/6 & 14/12

36 tooth
36 / 13 = 2.77 ratio
25 / 9 = 2.77 ratio

36 tooth
36 / 13 = 2.77 ratio
25 / 9 = 2.77 ratio

5.5:4, 11:8, 22:16, & 44:32 *all* have the same ratio. Additional equal ratios can be determined by multiplying *both* the 11 and the 8 by any number. Example (1): "5" 5 x 11 and 5 x 8 for a 55:40 ratio. It is much more desirable to reduce the numbers to lowest whole form - hence expressed as 11:8 ("8 to 11"). A second example using "3/4" (or the decimal equal .75) .75 x 11 and .75 x 8 for an 8.25:6 ratio. Again, whole numbers are preferable unless they get very large.

Ratios are like fractions: to make an equivalent ratio you simply multiply both sides of the ratio by the same non-zero number. 1:2 is equivalent to 2:4 (both sides multiplied by 2). 10:12 is equivalent to 5:6 (both sides multiplied by 1/2).

26,629,900,605 mJ = ? MJ

I prefer to write this large quantity in standard exponential notation: 2.6629900605 x 10^10 mJ.

A method called dimensional analysis is ideal for a problem like this.

Use the following equivalencies:
1 J = 10^3 mJ (also written as 1 J = E3 mJ, OR 1 J = 1000 mJ).

AND

1 MJ = 10^6 J (or 1 MJ = E6, OR 1 MJ = 1,000,000 J.)

You may rewrite them as more useful ratios, as follows:
1 J / 10^3 mJ OR 10^3 mJ / 1 J

and

1 MJ / 10^6 J OR 10^6 J / 1 MJ

Now, select the ratio from each set of ratios as conversion factors that allow you to cancel out like units.

Set up the conversions as parts of a convenient chain equation, as follows:

Notice that all like units cancel out, and I am left with only MJ, the desired unit. First I converted mJ to J, then J to MJ. Using exponentials makes the problem a bit more manageable.

Oh, and here is a very useful website that provides some very high quality instruction on use of dimensional analysis ("conversion factors").

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no...it would be 3:2 and 6:4

Here is another more detailed way to solve this problem, using dimensional analysis:

You want to convert cm3 to m3.

• Consider the two different units without their superscripts: that is, cm and m.
• Relate them to each other: that is, 1 m = 100 cm is probably the easiest way.
• Use the above equivalency by rewriting it as a ratio: 1 m/100 cm or 100 m/1 cm.
• Now cube each one of the above ratios: that is, 1 m^3/(100 cm)^3 or (100 cm)^3/1 cm^3. You want to do this cubing, because, you want to match the unit in the given starting quantity, 1 cm^3.
• Next multiply one of the above ratios (also called the "conversion factor") times the given quantity, as followed below:

Hello,
Read the definition of equivalent ratios. Choose the numbers a and b such that a/b=7/17. (Here is a HINT: The operation to perform to obtain a from 7 and b from 17 is the inverse operation that you use to reduce a fraction to its simplest form.)
Once you dtermine how you are going to construct a and b, the calculator can then help you express each one as a single number.
Sorry I cannot be more specific: You have to make a little effort to understand what you are supposed to be doing.