The product of two fractions is 15/ 3 4 . If one of the fraction is 4/ 1 2 , find the second fraction.
Answers
A proper fraction is a fraction in which numerator is less than the denominator.
An improper fraction is a fraction in which numerator is greater than the denominator.
(a) Let x=35,y=45
Here, x and y are proper fractions.
Then, their product =xy=(35)(45)=1225
As, 1225<35and1225<45.
So, product of two proper fractions is less than each of the fractions.
(b) Let x=35,y=54
Here, x is a proper fraction and y is an improper fraction.
Then, their product =xy=(35)(54)=34
As, 35<34and54>34.
So, the product of a proper and an improper fraction is less than the improper fraction and greater than the proper fraction.
(c) Let x=54,y=75
Here, x and y are improper fractions.
Then, their product =xy=(54)(75)=74
As 74>54and74>75
So, the product of two improper fractions is greater than the two fractions.
Answer:
15\34 ÷ 4\12 = 45\34
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