How does 3 and5/8 minus1 and3/4 equal1 and3/4
It doesn't.
3 5/8 - 1 3/4 = 2 13/8 - 1 6/8 = 1 7/8
To solve the problem:
Step 1: Convert the mixed numbers into improper fractions.
3 and 5/8 can be written as (3 * 8 + 5) / 8 = 29 / 8
1 and 3/4 can be written as (1 * 4 + 3) / 4 = 7 / 4
Step 2: Subtract the fractions.
29 / 8 - 7 / 4
The denominators are not the same. To subtract the fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 4 is 8.
Step 3: Convert fractions to have a common denominator.
29 / 8 - 7 / 4 = (29 * 1) / (8 * 1) - (7 * 2) / (4 * 2)
= 29 / 8 - 14 / 8
Step 4: Subtract the numerators and keep the denominator the same.
29 / 8 - 14 / 8 = (29 - 14) / 8
= 15 / 8
Step 5: Simplify the fraction, if necessary.
15 / 8 is already in its simplest form, but we can express it as a mixed number.
Step 6: Convert the improper fraction to a mixed number.
15 / 8 can be written as 1 and 7 / 8.
Therefore, 3 and 5/8 minus 1 and 3/4 equals 1 and 7/8.