1 1/6 Divided by 3 1/2 as a Fraction
To evaluate the expression "1 1/6 divided by 3 1/2", we need to follow the order of operations (PEMDAS) and perform the division operation.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions:
- 1 1/6 = (6 + 1)/6 = 7/6
- 3 1/2 = (7 + 1)/2 = 15/2
Step 2: Perform the Division Operation
Now, we can perform the division operation:
(7/6) ÷ (15/2) = ?
To divide fractions, we can invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
(7/6) × (2/15) = ?
Step 3: Multiply the Fractions
Now, multiply the fractions:
(7 × 2) / (6 × 15) = 14/90
Step 4: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 14:
14 ÷ 14 = 1 90 ÷ 14 = 45/14
So, the final answer is:
