Question 795540: what is 1 1/2 + 3/8 +1 1/4=
Found 2 solutions by Alan3354, Ryan K:
Answer by Alan3354(69443)   (Show Source):
Answer by Ryan K(1)  (Show Source):
You can put this solution on YOUR website! I would first convert each mixed number into an improper fraction. Let's start with the first mixed number 1 1/2, we multiply 1*2 to get the number 2, we then add the number 2 to the number 1 to get 3, our fraction is now 3/2.
Next we convert the mixed number 1 1/4 into an improper fraction. We follow the same steps listed above. 1*4=4, 4+1= 5. our new fraction is 5/4.
We then add the fractions 3/2 and 3/8. But we most first make these two fraction equivalent. We do this by finding a common multiple for the two denominators, our what times 2 would give us 8, and what times 8 would give us 8.
For the fraction 3/2, we know that 4*2=8. We must also multiply the number 3 by 4 to get the number 12. our fraction becomes 12/8.
For the fraction 3/8, we know that 8*1 will give us the number 8. Multiply the number 3 by 1 to get 3, our fraction stays 3/8.
We now add 12/8 to 3/8 to get the fraction 15/8. Moving onto the mixed number 1 1/4 which we converted into the improper fraction 5/4. We add the fraction 15/8 to the fraction 5/4, but we must also make these two fractions equivalent. We know that 8*1=8, we multiply the top number 15 by 1 to get 15, our fraction stays 15/8. Moving onto the fraction 5/4, we know that 4*2=8, we must also multiply the top number 5 by 2, which gives us 10. Our fraction is now 10/8.
We add 15/8 to 10/8 which gives us 25/8, but our answer is an improper fraction, so we must convert it into a mixed number. We do this by Dividing 25 by 8. We know that 8*3=24, 25-24=1. So our mixed number becomes 3 1/8.
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