33. 5/8-7/12= 1/24
34. (-3/4)-(-5 1/2)= 5 1/4
25. 6 5/6- 2 1/3= 4 1/2
36. 12 1/2- 6 3/8= 6 1/8
34 is wrong. The others are right.
Is 34 -5 1/4?
No.
What is 5 1/2 - 3/4?
(-3/4)-(-5 1/2)
I found the common denominator of 2 and 4 which is 4. On -5 1/2 I multiply 1/2 to get 2/4. And it becomes 5 2/4. Then I add -3/4
5 1/2 = 5 2/4 = 4 6/4
4 6/4 - 3/4 = 4 3/4
To solve these subtraction problems involving fractions and mixed numbers, follow these steps:
1. Determine if you need to borrow or regroup any whole numbers or fractions. If the fraction you are subtracting is larger than the fraction you are subtracting from, you will need to borrow from the whole number (if applicable) or regroup fractions.
2. Subtract the whole numbers. If the mixed numbers have different whole numbers, subtract them first.
3. Subtract the fractions.
4. Simplify the resulting fraction, if necessary.
Now, let's solve each problem step by step:
33. 5/8 - 7/12:
To subtract fractions, we need a common denominator. In this case, the common denominator will be 24 since it is divisible by both 8 and 12.
Now, we can rewrite the fractions with the common denominator:
5/8 = 15/24 (multiplied numerator and denominator by 3)
7/12 = 14/24 (multiplied numerator and denominator by 2)
Subtracting these fractions:
15/24 - 14/24 = 1/24
34. (-3/4) - (-5 1/2):
To subtract mixed numbers, we need to convert them to improper fractions.
-3/4 = -12/4 (improper fraction)
-5 1/2 = -5 - 1/2 = -10/2 - 1/2 = -11/2 (improper fraction)
Now, subtracting these fractions:
-12/4 - (-11/2) = -12/4 + 11/2
To find a common denominator, we need to multiply the denominators: 4 * 2 = 8
-12/4 + 11/2 = -24/8 + 44/8 = 20/8 = 5/2
Expressing the improper fraction as a mixed number:
5/2 = 2 1/2
So, (-3/4) - (-5 1/2) = 2 1/2
35. 6 5/6 - 2 1/3:
First, subtract the whole numbers:
6 - 2 = 4
Next, subtract the fractions:
5/6 - 1/3:
To find a common denominator, multiply the denominators: 6 * 3 = 18
Rewriting the fractions with the common denominator:
5/6 = 15/18 (multiplied numerator and denominator by 3)
1/3 = 6/18 (multiplied numerator and denominator by 6)
Subtracting these fractions:
15/18 - 6/18 = 9/18
Simplifying the fraction:
9/18 = 1/2
So, 6 5/6 - 2 1/3 = 4 1/2
36. 12 1/2 - 6 3/8:
First, subtract the whole numbers:
12 - 6 = 6
Next, subtract the fractions:
1/2 - 3/8:
To find a common denominator, multiply the denominators: 2 * 8 = 16
Rewriting the fractions with the common denominator:
1/2 = 8/16 (multiplied numerator and denominator by 8)
3/8 = 6/16 (multiplied numerator and denominator by 2)
Subtracting these fractions:
8/16 - 6/16 = 2/16
Simplifying the fraction:
2/16 = 1/8
So, 12 1/2 - 6 3/8 = 6 1/8