A frog made 3 jumps. The first was 12 5/6 inches. The second jump was 8 3/6 inches. The third jump was 15 1/6 inches. What was the total distance the frog jumped?
Hi I do not think this is the answer because in the book it shows that the answers are either 35 3/6, 36 1/6, 36 3/6, or 38 1/6
You can add the whole numbers first , so , 12 + 15 + 8 = 35 . Now , we can add the fractional parts . 5/6 + 3/6 + 1/6 = 9/6 , which converted into a mixed number is
1 3/6 . 35 + 1 3/6 =
36 3/6 .
Hope I helped you solve it
This problem can be solved by converting the distances into improper fractions.
To turn mixed numbers into improper fractions, simply take the whole number and multiply it by the fraction's denominator and then add the numerator. You take this new number and set it as the numerator of a fraction that has the same denominator the mixed number's fraction had (sorry if I'm confusing you). So 1 3/4 will be (1 x 4 + 3) which is 7/4. See what happened? I took the 1, multiplied it by the denominator which is 4, added 3 and got 7. This became the numerator and I kept the original denominator which was 4. The improper fraction of 1 3/4 is 7/4.
Now on to solving the problem:
We will convert the numbers one by one into improper fractions:
12 5/6 = 77/6
8 3/6 = 51/6
15 1/6 = 91/6
Since these improper fractions have the same denominator, you can add the denominators together (77+51+91) and get the fraction 219/6 or 73/2. So the total distance that the frog jumped was 73/2 inches.
-SJ
Hi I do not think this is the answer because in the book it shows that the answers are either 35 3/6, 36 1/6, 36 3/6, or 38 1/6
Answer is 36 1/6
To find the total distance the frog jumped, we need to add up the lengths of all three jumps.
First, let's convert the mixed numbers to improper fractions for easier calculations:
- 12 5/6 = (6 * 12) + 5 = 77/6 inches
- 8 3/6 = (6 * 8) + 3 = 51/6 inches
- 15 1/6 = (6 * 15) + 1 = 91/6 inches
Now we can add up the three fractions:
77/6 + 51/6 + 91/6
To add fractions, we need to have a common denominator. In this case, the denominators are already the same (6). So we can simply add the numerators:
77 + 51 + 91 = 219
Therefore, the total distance the frog jumped is 219/6 inches.
However, let's simplify this fraction. The greatest common divisor of 219 and 6 is 3. Divide both the numerator and denominator by 3:
(219/3) / (6/3) = 73/2
So, the total distance the frog jumped is 73/2 inches.