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/21 and /84
/28 and /42
/28 and /84
/42 and /84
/84 and /84
Answer:
Any with denominators of which their lowest common multiple is 84; for pairs of fractions these are:
whole numbers and /84
/2 and /84
/3 and /28
/3 and /42
/3 and /84
/4 and /21
/4 and /42
/4 and /84
/6 and /28
/6 and /84
/7 and /12
/7 and /84
/12 and /14
/12 and /21
/12 and /28
/12 and /42
/12 and /84
/14 and /84
/21 and /28
There are further possible fractions when there are three at a time, and so on upwards. With 12 fractions at a time they can all have different denominators, namely:
whole numbers, /2, /3, /4, /6, /7, /12, /14, /21, /28, /42 and /84
Though there are other possibilities with one or more repeated denominators.
With 13 or more fractions, some of them of necessity will have the same denominator since there are only 12 factors of 84, namely: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 & 84.
The fractions having the lowest common denominator of 84 will be 3/4, 1/7, and 1/6. The correct option is A.
What are fractions?
The fraction is defined as the division of the whole part into an equal number of parts. In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
When two or more fractions are supplied, the least common denominator is the smallest number among all the common multiples of the denominators.
The lowest common factor of 84 will be calculated as below:-
3/4, 1/7, 1/6
Take the numbers in the denominator and find the common factor between them.
4, 7, 6
Divide by 2, to get 2, 7, 3
Divide by 2 to get 1, 7, 3
Divide by 7 to get 1, 1 , 3
Divide by 3 to get 1 , 1, 1
Multiply all the numbers by which it is divided.
LCD = ( 2 x 2 x 7 3 ) = 84
Therefore, the fractions having the lowest common denominator of 84 will be 3/4, 1/7, and 1/6. The correct option is A.
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