1. 5 1/3 + 3 2/3 = 8 3/3?
2. 8 1/5 + 4 3/10 = 12 1/2
Thats right
They're correct, but you need to simplify the answer to the first one.
To solve these addition problems, you need to add the whole numbers separately from the fractions.
Let's start with the first problem:
1. 5 1/3 + 3 2/3
First, add the whole numbers:
5 + 3 = 8
Next, add the fractions. Since the fractions have the same denominator (3), you can simply add the numerators:
1 + 2 = 3
Therefore, the sum of the fractions is 3/3.
Now, put the whole number and the fraction sums together:
8 3/3
To simplify the fraction, you can see that 3/3 is equal to 1, so you can rewrite the sum as:
8 1
So, the correct simplification is:
5 1/3 + 3 2/3 = 8 1
Now, let's move on to the second problem:
2. 8 1/5 + 4 3/10
First, add the whole numbers:
8 + 4 = 12
Next, add the fractions. Since the fractions have different denominators (5 and 10), you need to find a common denominator.
To find the common denominator, you need to find the least common multiple (LCM) of 5 and 10, which is 10.
Now, convert both fractions to have a denominator of 10:
1/5 becomes 2/10 (multiply the numerator and denominator by 2)
3/10 remains the same
Add the fractions:
2/10 + 3/10 = 5/10
To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 5.
5/10 simplifies to 1/2.
Now, put the whole number and the fraction sum together:
12 1/2
Therefore, the correct sum is:
8 1/5 + 4 3/10 = 12 1/2