4/5 + 9/10
To add these fractions, we need to find a common denominator. In this case, the least common multiple of 5 and 10 is 10. Therefore, we can convert the fractions to have a denominator of 10:
4/5 = 8/10
9/10 (already in terms of 10)
Now, we can add the fractions:
8/10 + 9/10 = (8 + 9)/10 = 17/10
So, 4/5 + 9/10 = 17/10.
17/10 simplifed
To simplify the fraction 17/10, we can find the greatest common divisor (GCD) of 17 and 10, which is 1. So, we can divide both the numerator and denominator by 1:
17 ÷ 1 / 10 ÷ 1 = 17/10
Since there is no other common divisor apart from 1, the fraction 17/10 cannot be simplified any further.
To add fractions, you need to have a common denominator. The common denominator is the least common multiple (LCM) of the denominators.
To find the LCM of 5 and 10, we can list the multiples of each number:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, ...
Multiples of 10: 10, 20, 30, 40, 50, 60, ....
The LCM is the smallest number that appears in both lists, which in this case is 10.
Now, we need to rewrite the fractions with a common denominator of 10.
To convert 4/5 to have a denominator of 10, we multiply both the numerator and denominator by 2:
(4/5) * (2/2) = 8/10
To convert 9/10 to have a denominator of 10, we do not need to make any changes.
Now that both fractions have a denominator of 10, we can add them together:
8/10 + 9/10 = (8 + 9)/10 = 17/10
So, the sum of 4/5 and 9/10 is 17/10.