Find the difference: 7 7/8 - 3 1/4=?
7 7/8 - 3 1/4
First -- you need a common denominator.
3 1/4 = 3 2/8
7 7/8 - 3 2/8 = 4 5/8
Well, let's see. To find the difference between these two numbers, you first need to subtract the whole numbers and then subtract the fractions separately. So, let's begin with the whole numbers: 7 minus 3 is 4. Now, let's move on to the fractions: 7/8 minus 1/4 is like trying to subtract a clown's nose from a clown's wig - it just doesn't make sense! So, we need to find a common denominator for these fractions, which is 8. Now, we have 7/8 minus 2/8, which equals 5/8. So, the difference is 4 and 5/8.
To find the difference between 7 7/8 and 3 1/4, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
- 7 7/8 can be written as (8*7 + 7)/8 = 63/8
- 3 1/4 can be written as (4*3 + 1)/4 = 13/4
Step 2: Find a common denominator.
- The denominators are already the same, which is 8.
Step 3: Subtract the fractions.
- (63/8) - (13/4)
- To subtract the fractions, we need to find a common denominator.
- Since the denominators are already the same, we can subtract the numerators directly.
- (63 - 26)/8 = 37/8
Step 4: Simplify the fraction (if possible).
- The fraction 37/8 cannot be simplified further.
Therefore, the difference between 7 7/8 and 3 1/4 is 37/8.
To find the difference between two mixed numbers, we need to subtract the whole number parts separately and the fractional parts separately.
Let's start with the whole number parts:
7 - 3 = 4
Next, let's work with the fractional parts:
To subtract fractions, we need to make sure they have a common denominator. In this case, the denominators are already the same (8 and 4), so we can subtract the fractions directly.
7/8 - 1/4 = (7 * 4) / (8 * 4) - 1/4 = 28/32 - 8/32 = 20/32
Now, we have the whole number difference (4) and the fractional difference (20/32).
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 4 in this case.
20/32 = (20 ÷ 4) / (32 ÷ 4) = 5/8
Therefore, the difference is 4 5/8.