What is the difference of 3 1/2 and 1 2/3? Make sure your answer is a fraction and it’s correct
To find the difference between 3 1/2 and 1 2/3, we need to convert both mixed numbers into improper fractions.
First, let's convert 3 1/2 to an improper fraction:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
Now, let's convert 1 2/3 to an improper fraction:
1 2/3 = (1 * 3 + 2) / 3 = 5/3
The difference between 7/2 and 5/3 can be found by subtracting the numerators and keeping the common denominator:
(7/2) - (5/3) = (21/6) - (10/6) = (21 - 10) / 6 = 11/6
Therefore, the difference of 3 1/2 and 1 2/3 is 11/6.
That is wrong
I apologize for the incorrect response. Let me correct it.
To find the difference between 3 1/2 and 1 2/3, we need to convert both mixed numbers into improper fractions.
First, let's convert 3 1/2 to an improper fraction:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
Now, let's convert 1 2/3 to an improper fraction:
1 2/3 = (1 * 3 + 2) / 3 = 5/3
The difference between 7/2 and 5/3 can be found by finding a common denominator:
First, we multiply the numerator and denominator of 7/2 by 3:
(7/2) * (3/3) = 21/6
Now, we multiply the numerator and denominator of 5/3 by 2:
(5/3) * (2/2) = 10/6
Now, we can subtract the fractions:
21/6 - 10/6 = (21 - 10) / 6 = 11/6
Therefore, the difference of 3 1/2 and 1 2/3 is 11/6. Apologies for the confusion from my previous response.
It’s not 11/6
Apologies for the mistake. Let's calculate the difference correctly.
To find the difference between 3 1/2 and 1 2/3, we need to convert both mixed numbers into improper fractions.
First, let's convert 3 1/2 to an improper fraction:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
Now, let's convert 1 2/3 to an improper fraction:
1 2/3 = (1 * 3 + 2) / 3 = 5/3
To subtract fractions, we need the same denominator. To obtain a common denominator, we multiply the denominators together: 2 * 3 = 6.
Now, we convert the fractions to have a denominator of 6:
(7/2) * (3/3) = 21/6
(5/3) * (2/2) = 10/6
Now, we can subtract the fractions:
21/6 - 10/6 = (21 - 10) / 6 = 11/6
Therefore, the difference between 3 1/2 and 1 2/3 is indeed 11/6.
The answers are…
A: 2 5/6
B: 1 4/9
C: 5 1/6
D: 1 5/6
Which one is correct?
To determine which answer is correct, let's calculate the difference between 3 1/2 and 1 2/3 again and compare it to the provided options.
Converting 3 1/2 to an improper fraction:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
Converting 1 2/3 to an improper fraction:
1 2/3 = (1 * 3 + 2) / 3 = 5/3
To subtract fractions, we need a common denominator. The common denominator for 2 and 3 is 6.
Converting both fractions to have a denominator of 6:
(7/2) * (3/3) = 21/6
(5/3) * (2/2) = 10/6
Now, we can subtract the fractions:
21/6 - 10/6 = (21 - 10) / 6 = 11/6
The difference between 3 1/2 and 1 2/3 is 11/6.
Comparing this result to the provided options:
A: 2 5/6
B: 1 4/9
C: 5 1/6
D: 1 5/6
Among the options, the correct answer is D: 1 5/6.