Question

What is the LCD of `1/4 and 5/6`?

Answer 1

`12`

Explanation:

LCD means Least Common Denominator and it is used to compare, add or subtract fractions. For more details see here.

Now we can raise the denominator `4` to `4,8,color(red)12,16,20,color(red)24,28,32,color(red)36,...` by multiplying it by `1,2,3,4,5,6,7,8,9,....` and so on.

Similarly `6` can be raised to `6,color(red)12,18,color(red)24,30,color(red)36,42,....` by multiplying it by `1,2,3,4,5,6,7,,....` and so on.

and common denominators are `12,24,36,....` and `12` is the `color(red)("Least Common Denominator.")`

Now we can convert `1/4=(1xx3)/(4xx3)=3/12`

and `5/6=(5xx2)/(6xx2)=10/12`

and now we can compare, add or perform subtraction on them.