why do you rename 3 3/4 to subtract from 7/8
because you can't rename a mixed fraction to a normal fraction
To get it into easier to manipulate numbers.
3 3/4 = 3 6/8 = 2 14/8 - 7/8 = ?
To subtract 7/8 from 3 3/4, we need to convert the mixed number 3 3/4 to an improper fraction first. Here's the step-by-step process:
Step 1: Convert the whole number to a fraction:
The whole number 3 can be written as 3/1.
Step 2: Add the fractions:
3/1 + 3/4
Step 3: Find a common denominator:
To find a common denominator, we multiply the denominators: 1 * 4 = 4.
Step 4: Adjust the numerators:
Since the denominators are now the same, we adjust the numerators accordingly.
3/1 * 4/4 + 3/4 * 1/1
Step 5: Calculate the sum:
Multiplying the numerators and denominators within each fraction, we get:
12/4 + 3/4
Step 6: Add the fractions:
12/4 + 3/4 = 15/4
So, the mixed number 3 3/4 can also be written as the improper fraction 15/4.
Now, we can subtract 7/8 from 15/4.
To subtract 3 3/4 from 7/8, we need to convert 3 3/4 into an improper fraction and find a common denominator between the two fractions. Once we have the common denominators, we can subtract the fractions.
First, let's convert 3 3/4 into an improper fraction:
To do this, we multiply the whole number (3) by the denominator (4), and then add the numerator (3) to the result. This gives us:
3 * 4 + 3 = 12 + 3 = 15
So, 3 3/4 as an improper fraction is 15/4.
Now, to subtract 15/4 from 7/8, we need to find a common denominator between 4 and 8:
The least common multiple (LCM) of 4 and 8 is 8.
To convert 15/4 to the fraction with a denominator of 8, we multiply the numerator (15) and denominator (4) by 2:
15 * 2 = 30
4 * 2 = 8
So, 15/4 can be rewritten as 30/8.
Now that both fractions have a common denominator of 8, we can subtract them:
7/8 - 30/8
To subtract the fractions, keep the common denominator and subtract the numerators:
7 - 30 = -23
So, the answer is -23/8.
Therefore, to subtract 3 3/4 from 7/8, we convert 3 3/4 to 15/4, find a common denominator of 8, and then subtract the fractions to get -23/8.