4 1/4+(2 1/6-1 1/3)
Are you answer mooching? Trying to cheat?
What don't you understand about this problem?
To solve this arithmetic expression, you need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Simplify within the parentheses:
2 1/6 - 1 1/3
To subtract mixed numbers, you need to find a common denominator. The least common multiple of 6 and 3 is 6, so let's convert both fractions to sixths.
2 1/6 - 1 1/3
= (12/6 + 1/6) - (6/6 + 1/6)
= 13/6 - 7/6
Step 2: Combine the fractions.
13/6 - 7/6
= (13 - 7)/6
= 6/6
= 1
Step 3: Now, plug the value back into the original expression:
4 1/4 + 1
Step 4: Convert the mixed number to an improper fraction:
4 1/4 = (4 * 4 + 1)/4 = 17/4
Step 5: Add the fractions:
17/4 + 1
To add fractions, you need a common denominator. In this case, it is 4.
(17/4 + 1) = (17/4 + 4/4)
= (17 + 4)/4
= 21/4
Step 6: Simplify the fraction (if needed):
21/4 cannot be further reduced, so the final answer is 21/4 or 5 1/4.