Question

and 4 6. Use a common denominator to find equivalent fractions for Enter the correct fractions in the boxes. Hint 3 4. 1 6 Σ 8 7 9

Answer 1

EXPLANATION

The prime factorization of 4 is: 2x2

The prime factorization of 6 is: 2x3

Multiply each factor the greatest number of times it occurs in either 4 or 6

= 2x2x3

Multiply the numbers:

=12

The least common denominator is 12:

So, the fractions should be obtained by setting 12 as denominator:

Considering the fraction 3/4, multiplying 4 by 3 we can get 12, so the factor is 3:

`(3)/(4)\cdot3=(9)/(12)`

Multiplying 1/6 by 2 will give us the right fraction:

`(1)/(6)\cdot2=(2)/(12)`

The equavalent fractions with a common denominator are:

9/12 and 2/12