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The strategies for writing equivalent ratios is the same as writing equivalent fractions.

Q: How are your stratagies for writing equivalent ratios the same as or different from writing equivalent fractions?

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Yes they are.

They are the same.

The are many different ways of writing numbers that are equivalent to 18.7 (but 18/7 is not one of them). 18.7 is equivent to 18 and 7/10 ... or 187/10 ... or 1870/100 ... or 374/20 ... or 561/30 ... there are an infinite number of ways of writing fractions that are equivalent to 18.7

Yes they are.

There is no significant difference apart from the way in which they are written. There is, however, one difference. One of the standard ways of writing an equivalent ratio is to write it as 1 : x where x is a fractional number. For example, 2 : 5 would be 1 : 2.5. A fraction consists of two integers.

There is only one number and that is -7/8. The number can also be expressed in terms of equivalent fractions. As a decimal, it is -0.875 and as a percentage it is -87.5%. However, all these are simply different ways of writing the same number.

it facilitates arithmetic calculations using fractions. Especially with calculators.

9/14, 27/42, 36/56, 45/70,...To get the equivalent fractions of 18/28:1. Reduce the given fraction to its lowest term so as to get equivalent fractions of lesser value.18/28 = 9/142. Multiply 9/14 by 2/2, 3/3, 4/4, 5/5,...Equivalent fractions of 18/28 = 18/28, 27/42, 36/56, 45/70,...NOTE: instead of writing 18/28 in the answer, write 9/14.

Fractions in decimal form are easy to compare and to add and subtract from one another.

A mixed fraction is another way of writing fractions. Mixed fractions include a whole number and a fraction. For example, 2-1/2 is a mixed fraction. But it's equivalent value 5/2 is not a mixed fraction but an improper fraction.

no need to change the denominators

Yes.