Question

Use 4 6 and 8 as denominators and write six equivalent fractions answer

Answer 1

`(2)/(4)=(3)/(6)=(4)/(8)=(12)/(24)=(24)/(48)=(48)/(96)`

Explanation:

We are required,

To use the numbers 4, 6 and 8 as the denominator and write 6 equivalent fractions.

We will consider the fractions,

`(2)/(4)=(3)/(6)=(4)/(8)`

Now, we want to have 3 more equivalent fractions.

Since, the least common multiple = LCM {4,6,8} = 24

As, multiples of 24 = 24, 48 and 96. Thus, they are divisible by 4, 6 and 8.

So, the equivalent fractions will be
`(12)/(24)=(24)/(48)=(48)/(96)`

Hence, the six equivalent fractions are,

`(2)/(4)=(3)/(6)=(4)/(8)=(12)/(24)=(24)/(48)=(48)/(96)`