explain how you can add two fractions with denominators of 10 and end up with a sum whose denominator is 5.
1/10 plus 1/10 gives you 2/10 or 1/5
1/10 + 1/10 = 2/10. 2/10 can be simplified to 1/5.
1/10+1/10=2/10 but 2/10 can turn into 1/5.
Find the sum of similar fraction 2/10+2/10=
To add two fractions with different denominators, you need to find a common denominator and then perform the addition. In this case, your goal is to add fractions with denominators 10 and end up with a sum whose denominator is 5.
Here's how you can do it step by step:
Step 1: Find a common denominator
To find a common denominator between 10 and 5, you need to find the least common multiple (LCM) of these numbers. The LCM of 10 and 5 is 10 since 10 is divisible by 5.
Step 2: Adjust the numerators
Once you have the common denominator of 10, you need to adjust the numerators accordingly. Multiply the numerator of each fraction by the same value that you used to find the common denominator.
For the fraction with a denominator of 10 (let's say it's a/b), the numerator becomes a*(10/10) = 10a/10.
Step 3: Add the fractions
Now that both fractions have a common denominator of 10, you can add them together by simply adding the numerators while keeping the denominator the same.
So, if you have two fractions, 10a/10 and c/5, the sum would be (10a + c)/10.
Step 4: Simplify if needed
Since the question states that the final sum should have a denominator of 5, you need to simplify the fraction further. To do that, you can divide the numerator and denominator by their common factor, 10.
The simplified fraction would be (10a + c)/10 = ((10a + c)/10) * (1/1) = (10a + c)/10.
Therefore, adding two fractions with denominators of 10 and ending up with a sum whose denominator is 5 can be represented as (10a + c)/10.