2 5/7 + 1 2/5 + 3 2/7 , I change alll the denominators to 70 right?
The least common denominator is 35.
and the final answer would be 6 and 2/5
Your answer is correct. Good job!
2 5/7 + 1 2/5 + 3 2/7
2 25/35+ 1 14/35 + 3 10/35
6 49/35= 6 14/35= 6 2/5
Your fraction is correct. Your whole number is 1 off.
Oh yes, Ms. Sue is right. I didn't even realize this as I did the steps. When going from 6 49/35, it doesn't become 6 14/35 because 49/35 is more than one..
Yes, in order to add fractions with different denominators, you need to find a common denominator. To find the common denominator for the given fractions, you should first identify the largest denominator among them. In this case, the largest denominator is 7.
To change all the denominators to 70, you need to multiply each fraction's numerator and denominator by the same value that will result in the denominator being 70. In this case, you need to multiply the first fraction by 10, the second fraction by 14, and the third fraction by 10.
So the calculations would be as follows:
2 5/7 + 1 2/5 + 3 2/7
= (2 * 10 + 5) / 7 + (1 * 14 + 2) / 5 + (3 * 10 + 2) / 7
= (20 + 5) / 7 + (14 + 2) / 5 + (30 + 2) / 7
= 25 / 7 + 16 / 5 + 32 / 7
Now that all the fractions have a common denominator of 70, you can add them together:
= (25 * 10) / (7 * 10) + (16 * 14) / (5 * 14) + (32 * 10) / (7 * 10)
= 250 / 70 + 224 / 70 + 320 / 70
Next, add the numerators together while keeping the denominator the same:
= (250 + 224 + 320) / 70
= 794 / 70
Finally, simplify the fraction if possible:
= 39 4/70
= 39 2/35
So, the answer is 39 2/35.