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

1 Answer
Nov 28, 2017

#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.