What is the common denominator for 4/5,5/6 and9/12.list from greastest to least.
12, 24, 36, 48, 60, 72, 84
Which of those numbers is also divisible by 5 and 6?
Iam still confused on that .
Multiples of 5 end in 0 or 5
Find the multiples
To find the common denominator for fractions, you need to find the least common multiple (LCM) of the denominators. Here's how you can find the common denominator for 4/5, 5/6, and 9/12:
Step 1: Find the LCM of the denominators
- The denominators are 5, 6, and 12.
- To find the LCM, you can list the multiples of each number until you find the smallest number that is a multiple of all the denominators.
- The multiples of 5 are 5, 10, 15, 20, 25, ...
- The multiples of 6 are 6, 12, 18, 24, 30, ...
- The multiples of 12 are 12, 24, 36, 48, ...
- From the list of multiples, you can see that the smallest number that is divisible by 5, 6, and 12 (LCM) is 60.
Step 2: Convert the fractions to a common denominator
- Now that you have the LCM, you can convert each fraction to have a denominator of 60.
- To do this, you need to multiply both the numerator and the denominator of each fraction by the same value to maintain the fraction's value.
- For the first fraction, 4/5, you need to multiply both the numerator and denominator by 12 (60/5 = 12), so it becomes 48/60.
- For the second fraction, 5/6, you need to multiply both the numerator and denominator by 10 (60/6 = 10), so it becomes 50/60.
- For the third fraction, 9/12, you need to multiply both the numerator and denominator by 5 (60/12 = 5), so it becomes 45/60.
Step 3: Ordering the fractions
- Now that all the fractions have a common denominator of 60, you can order them from greatest to least.
- The fractions, in order from greatest to least, are: 50/60, 48/60, and 45/60.
So, the fractions in order from greatest to least are 50/60, 48/60, and 45/60.