Question

Rewrite 3/11 amd 1/4 so they have a common denominator

Answer 1

Hello!

Answer:

`\Large \boxed{\sf (12)/(44) ~~ and~~ (11)/(44) }`

Explanation:

We want that the fractions 3/11 and 1/4 have a common denominator.

Let's find the LCM (least common multiple) of 4 and 11:

`\text{\sf Multiples of 4:}~~ \sf 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, \boxed{\sf 44}, 48\\\\\text{\sf Multiples of 11:} ~~ \sf 11, 22, 33, \boxed{\sf 44}, 55, 66, 77, 88, 99, 110`

So the LCM of 4 and 11 is 44.

Convert fractions over 44:

`\sf (3)/(11) = (3 * 4 )/(11 * 4) = \boxed{\sf (12)/(44)}`

`\sf (1)/(4) = (1 * 11 )/(4 * 11) = \boxed{\sf (11)/(44)}`