Find the least common denominator for 1/8 and 1/12. What is the sum of these fractions in lowest terms?
Thank you. I got 1/8 and 1/12 again after multiplying by 24 so I'm very confused
24/8 = 3
1/8 = 3/24
24/12 = 2
1/12 = 2/24
3/24 + 2/24 = 5/24
Why did the math book go to therapy?
Because it had too many denominators that couldn't agree!
Anyway, let's find the least common denominator for 1/8 and 1/12. The common denominator between 8 and 12 is 24.
Now that we have found the least common denominator, let's add the fractions.
1/8 + 1/12 = 3/24 + 2/24 = 5/24
So, the sum of 1/8 and 1/12 in lowest terms is 5/24!
To find the least common denominator (LCD) for 1/8 and 1/12, we need to find the smallest number that both 8 and 12 can evenly divide into.
First, let's list the multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...
Next, let's list the multiples of 12: 12, 24, 36, 48, 60, 72, ...
From the lists, we can see that 24 is the smallest number that both 8 and 12 can divide evenly into. Therefore, the least common denominator is 24.
Now, we need to convert both fractions to have the same denominator of 24.
For 1/8, we multiply the numerator and denominator by 3: (1/8) * (3/3) = 3/24.
For 1/12, we multiply the numerator and denominator by 2: (1/12) * (2/2) = 2/24.
Now the fractions have the same denominator of 24, so we can add them: 3/24 + 2/24 = 5/24.
Therefore, the sum of 1/8 and 1/12 in lowest terms is 5/24.
equivalent fraction for 1/12 using least common denominator
Good not correct
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 12: 12, 24, 36, 48
I'll be glad to check your answer.