What is the difference of 3 1/2 and 1 2/3 (1 point)
1. 1 5/6
2. 1 4/9
3. 5 1/6
4. 2 5/6
3 1/2 minus 1 2/3 is equal to 1 5/6. Therefore, the correct answer is option 1.
To find the difference between 3 1/2 and 1 2/3, we need to find a common denominator for the fractions. The common denominator for 2 and 3 is 6.
Converting the mixed numbers to improper fractions:
3 1/2 = (3 * 2 + 1)/2 = 7/2
1 2/3 = (1 * 3 + 2)/3 = 5/3
Now, we can subtract the fractions:
7/2 - 5/3
To subtract these fractions, we need a common denominator. Since the common denominator is 2 * 3 = 6, we need to rewrite the fractions with this denominator:
7/2 = (7 * 3)/(2 * 3) = 21/6
5/3 = (5 * 2)/(3 * 2) = 10/6
Now we can subtract:
21/6 - 10/6 = (21 - 10)/6 = 11/6
Therefore, the difference of 3 1/2 and 1 2/3 is 11/6.
However, none of the answer choices provided is the correct answer.
To find the difference between 3 1/2 and 1 2/3, you'll need to subtract the second fraction from the first fraction. Here's how you can do it:
Step 1: Convert both mixed numbers to improper fractions.
3 1/2 can be written as 7/2 since 3 multiplied by 2 is 6, and adding 1 gives you 7.
1 2/3 can be written as 5/3 since 1 multiplied by 3 is 3, and adding 2 gives you 5.
Step 2: Find a common denominator for the two fractions. In this case, the common denominator is 6 since both denominators (2 and 3) can go into 6 evenly.
Step 3: Rewrite both fractions with the common denominator.
7/2 can be rewritten as 21/6 since 2 multiplied by 3 is 6, and multiplying the numerator (7) by 3 gives you 21.
5/3 can be rewritten as 10/6 since 3 multiplied by 2 is 6, and multiplying the numerator (5) by 2 gives you 10.
Step 4: Subtract the second fraction from the first fraction.
21/6 - 10/6 = (21 - 10) / 6 = 11/6.
Therefore, the difference between 3 1/2 and 1 2/3 is 11/6.
As for the answer choices you provided:
1. 1 5/6: This is not the correct difference.
2. 1 4/9: This is not the correct difference.
3. 5 1/6: This is not the correct difference.
4. 2 5/6: This is not the correct difference.
Therefore, the correct difference is 11/6.