3 1/2 + 2 5/8 -4 1/4=
I'll be happy to check your answer.
1 5/6
You're close -- but not right.
You need to use 8 as the common denominator for your fractions.
1 5/8
3 1/2 + 2 5/8 = 3 4/8 + 2 5/8 = 5 9/8
5 9/8 - 4 2/8 = 1 7/8
To add or subtract mixed numbers, you need to first convert them into improper fractions.
Let's convert each mixed number into an improper fraction:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
2 5/8 = (2 * 8 + 5) / 8 = 21/8
4 1/4 = (4 * 4 + 1) / 4 = 17/4
Now we can rewrite the expression as:
7/2 + 21/8 - 17/4
To add or subtract fractions, the denominators (the bottom numbers) must be the same. In this case, the denominators are 2, 8, and 4.
To find the least common denominator (LCD) for these denominators, we need to find the smallest number that is divisible by all of them. In this case, the LCD is 8.
Now we can rewrite the expression with a common denominator of 8:
(7/2) * (4/4) + (21/8) - (17/4) * (2/2)
Simplifying:
28/8 + 21/8 - 34/8
Now we can combine the numerators:
(28 + 21 - 34) / 8 = 15/8
Therefore, 3 1/2 + 2 5/8 - 4 1/4 equals 15/8.