Of the multiples of 2 between 1 and 99, what fraction are also multiples of 3? A)\frac{16}{99} B)\frac{16}{49} C)\frac{1}{3} D)\frac{33}{49}

FizeauV

FizeauV

Answered question

2021-08-01

Of the multiples of 2 between 1 and 99, what fraction are also multiples of 3?
A)1699
B)1649
C)13
D)3349
4999

Answer & Explanation

liingliing8

liingliing8

Skilled2021-08-02Added 95 answers

Step 1
the multiples of 2 between 1 and 99 are the even numbers .
Therefore, there are 49 even numbers from 1 to 99
The numbers that are multiple of 2 are 2,4,6,8,10,12,...49
out of those even numbers, the numbers that are also the multiples of 3 are the numbers that are divisible by 3.
therefore from the set 2,4,6,8,10,12,...49 every third number is multiple of 3.
therefore, there are 16 such numbers
Step 2
therefore, the required fraction is given by 1649
the answer is 1649

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