Question

Describe how you would rewrite thw fractions 1/6 and 1/4 with their least common denominator

Answer 1

So to find the least common denominator, you have to look at multiples of each denominator. Sometimes the LCD will just be the two denominators multiplied by one another... you can always find a COMMON denominator this way but not necessarily the LEAST common denominator. Start with the larger of the denominators and multiply it by 2, then check if the other denominator divides evenly into it... for your problem...

6 x 2 = 12
4 x 3 = 12

so 12 will be the LCD

Now you have to multiply the numerator by whatever you multiplied the denominator by...

1/6 x 2/2 = 2/12
1/4 x 3/3 = 3/12

Those would be the equivalent fractions with the LCD. Now you can feel free to compare them, add them, or subtract them with confidence!

Answer 2

Answer:
`(2)/(12)` and
`(3)/(12)` respectively.

Explanation:

To rewrite the given fractions
`(1)/(6)` and
`(1)/(64)` with their least common denominator, we need to find the least common multiple of the denominators of the given fractions.

The denominators of the given fractions are 6 and 4.

the least common multiple of 6 and 4 = 12

To rewrite
`(1)/(6)` with denominator 12, we need to multiply 2 to the numerator and the denominator, we get

`(1)/(6)=(1*2)/(6*2)=(2)/(12)`

To rewrite
`(1)/(4)` with denominator 12, we need to multiply 3 to the numerator and the denominator, we get

`(1)/(4)=(1*3)/(4*3)=(3)/(12)`