8 and 1/2 - 1 and 3/4
8 1/2 = 7 6/4
7 6/4 - 1 3/4 = ?
8 and 1 / 2 = 18 + 1 / 2 = 8 + 2 / 4 = 32 / 4 + 2 / 4 = 34 / 4
1 and 3 / 4 = 1 + 3 / 4 = 4 / 4 + 3 / 4 = 7 / 4
8 and 1 / 2 - 1 and 3 / 4 =
34 / 4 - 7 / 4 = 27 / 4 = ( 24 + 3 ) / 4 =
24 / 4 + 3 / 4 = 6 + 3 / 4 = 6 3 / 4
To subtract mixed numbers like 8 and 1/2 from 1 and 3/4, you need to convert them into improper fractions and then perform the subtraction. Here's how you can do it step by step:
1. Convert the mixed numbers into improper fractions:
- Convert 8 and 1/2 into an improper fraction:
8 and 1/2 = (8 × 2 + 1)/2 = 17/2
- Convert 1 and 3/4 into an improper fraction:
1 and 3/4 = (1 × 4 + 3)/4 = 7/4
2. Subtract the fractions:
17/2 - 7/4
Since the denominators are different, you need to find a common denominator.
The least common multiple (LCM) of 2 and 4 is 4.
3. Adjust the fractions to have a common denominator:
Multiply the numerator and denominator of 17/2 by 2 to get 34/4.
The fraction becomes 34/4 - 7/4.
4. Perform the subtraction:
Subtract the numerators of the fractions while keeping the common denominator:
34/4 - 7/4 = (34 - 7)/4 = 27/4
5. Simplify the fraction, if necessary:
Since the fraction cannot be simplified further, the answer is 27/4.
Therefore, the result of subtracting 8 and 1/2 from 1 and 3/4 is 27/4.