Which set of mixed numbers has a difference less than one?
A. 1 and 2/9 x 1 and 1/9 ••
B. 3 and 4/7 x 2 and 1/7
C. 2 and 4/5 x 1 and 1/3
D. 2 and 7/9 x 1 and 1/3
Here's the answers for review
1. D
2. C
3 .B
4. D
5. A
A. 1 and 2/9 x 1 and 1/9 ••
3.3.5 - Quick Check: Adding and Subtracting Fractions
Answer
1.D
2.C
3.B
4.D
5.A
100%
connexus students
@no WAY thank you for the correct answer. and i oop!
So what’s the answer 🤦🏻♂️
correct
Thanks so much "no WAY"
Answers from “no Way” still work for September 2020
To determine which set of mixed numbers has a difference less than one, we need to subtract the two mixed numbers and see if the result is less than one.
Let's calculate the difference for each set of mixed numbers:
A. 1 and 2/9 x 1 and 1/9:
To subtract mixed numbers, we first need to convert them into improper fractions.
1 and 2/9 is equal to (9 * 1 + 2) / 9 = 11/9.
1 and 1/9 is equal to (9 * 1 + 1) / 9 = 10/9.
Now, subtracting the two improper fractions:
11/9 - 10/9 = (11 - 10) / 9 = 1/9.
B. 3 and 4/7 x 2 and 1/7:
3 and 4/7 is equal to (7 * 3 + 4) / 7 = 25/7.
2 and 1/7 is equal to (7 * 2 + 1) / 7 = 15/7.
Subtracting the two improper fractions:
25/7 - 15/7 = (25 - 15) / 7 = 10/7 = 1 and 3/7.
C. 2 and 4/5 x 1 and 1/3:
2 and 4/5 is equal to (5 * 2 + 4) / 5 = 14/5.
1 and 1/3 is equal to (3 * 1 + 1) / 3 = 4/3.
Subtracting the two improper fractions:
14/5 - 4/3 = [(14 * 3) - (4 * 5)] / (5 * 3) = (42 - 20) / 15 = 22/15.
D. 2 and 7/9 x 1 and 1/3:
2 and 7/9 is equal to (9 * 2 + 7) / 9 = 25/9.
1 and 1/3 is equal to (3 * 1 + 1) / 3 = 4/3.
Subtracting the two improper fractions:
25/9 - 4/3 = [(25 * 3) - (4 * 9)] / (9 * 3) = (75 - 36) / 27 = 39/27.
Comparing the results:
A. 1/9
B. 1 and 3/7
C. 22/15
D. 39/27
Based on the results, the only set that has a difference less than one is option A, 1 and 2/9 x 1 and 1/9.