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Let us say that we have two fractions: 3/4 and 14/18.
Is 3/4 > 14/18 or is 3/4 < 14/18?
It is not immediately apparent which one is greater than the other. However, it is possible to convert the problem of comparing fractions into the problem of comparing integers, which is intuitive to solve.
In order to do so, we must find a common denominator of 3/4 and 14/18. To do so, we multiply the numerator and the denominator by the denominator of the other fraction like so:
(3/4) * (18/18) = (54/72)
and
(14/18) * (4/4) = (56/72)
From the above, it is clear that 56 > 54, which means that 56/72 > 54/72.
We can do this because 18/18 = 1 = 4/4. All we are doing is multiplying each fraction by the number 1. If you recall the Identity Property of multiplication, multiplying any number by 1 does not change the number, so this means:
56/72 > 54/72
14/18 = 56/72 and 3/4 = 54/72
So
14/18 > 3/4
To generalize:
If you have fractions a/b and c/d, convert the problem of comparing a/b and c/d to comparing the integers a*d and c*b. If a*d > c*b then a/b > c/d. If a*d < c*b then a/b < c/d.
Obviously, if a*d = c*b then a/b = c/d
What else can I help you with?
Why is it helpful to write a fraction as a percent?
It is not always helpful.Some people may find it helpful when comparing fractions. By converting them into percentages they are made into like fractions: all with the denominator 100.
What can You noticE about comparing 2 fractions when the numerators are the same?
The larger fraction is the one with the smaller denominator, when the numerators are the same.
What are Three fractions whose benchmark is 1?
Three fractions whose benchmark is 1 include ( \frac{3}{3} ), ( \frac{5}{5} ), and ( \frac{7}{7} ). Each of these fractions simplifies to 1, which serves as the benchmark for comparing other fractions. They represent whole numbers and are often used to illustrate the concept of equivalence in fractions.
How can you tell from the fraction array of fractions are equivalent?
You can determine if fractions are equivalent by simplifying them to their lowest terms or by comparing their cross products. If two fractions simplify to the same value or if the cross products (the product of the numerator of one fraction and the denominator of the other) are equal, then the fractions are equivalent. For example, for fractions a/b and c/d, they are equivalent if a * d = b * c.
Why are percentages useful?
Since they are all based on a common denominator of 100, some people find them easier for comparing fractions.
Why does the butterfly method work when comparing fractions?
it works when comparing fractions by multiplying the fractions to see whitch one is greater not greater and equal
What does comparing fractans mean?
The correct spelling is fractions instead of fractans. Comparing fractions means to tell which fraction is smaller and which is bigger.
Explain how comparing fractions with like denominators differs from comparing fractions with unlike denominators?
Because when you compare fractions with the same denominators, you do not have to find the least common denominator (LCM or LCD).
What is the name for fractions that are commonly used for comparing measuring and estimating?
benchmark fractions
Comparing fractions sheet 1?
RIGHT
Comparing fractions without using an lcd?
It is easy: just convert to decimal fractions.
What does comparing fractions mean?
it means that you look at 2 or more fractions and see their simalaritys and differences
When do you use cross multiplication?
When comparing or simplifying fractions.
What do you do when comparing fractions and the denominator and the numerator are different?
Convert them into equivalent fractions with the same denominator and then compare the numerators.
What mothods were used to catch criminal in 1910?
Lie detector
When comparing fractions with the same you only have to compare the?
Numerator, Denominator or Denominator, Numerator.
What is common in fractions and decimals and percentages?
They are ways of calculating and comparing parts of wholes.
