9 and 4/5 + 8 and 1/2
9 4/5 = 9 8/10 = 98/10
8 1/2 = 8 5/10 = 85/10
Now you can add them easily, right?
You can change the fractions to equivalent fractions with the same denominator:
9 4/5 = 9 8/10
+
8 1/2 = 8 5/10
or change them to equivalent decimals.
9.8 + 8.5 =
To add the given mixed numbers, 9 and 4/5 and 8 and 1/2, we follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
9 and 4/5 can be converted to an improper fraction as follows:
9 and 4/5 = (9 * 5 + 4)/5 = 49/5
8 and 1/2 can be converted to an improper fraction as follows:
8 and 1/2 = (8 * 2 + 1)/2 = 17/2
So, we need to add 49/5 and 17/2.
Step 2: Find a common denominator for the fractions.
The least common multiple (LCM) of 5 and 2 is 10. Therefore, we will use 10 as the common denominator.
Step 3: Convert the fractions to have a common denominator of 10.
To convert 49/5 to a fraction with a denominator of 10, multiply both the numerator and denominator by 2:
(49/5) * (2/2) = 98/10
To convert 17/2 to a fraction with a denominator of 10, multiply both the numerator and denominator by 5:
(17/2) * (5/5) = 85/10
So, we now have 98/10 + 85/10.
Step 4: Add the fractions.
To add the fractions, we add the numerators and keep the common denominator:
98/10 + 85/10 = (98 + 85)/10 = 183/10
Step 5: Simplify the fraction (if needed).
The fraction 183/10 is already simplified, so we can leave it as is.
Therefore, the sum of 9 and 4/5 + 8 and 1/2 is 183/10.