7 1/2 divided by 1 1/3 as a Fraction
To evaluate the expression 7 1/2 divided by 1 1/3, 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 both mixed numbers to improper fractions:
7 1/2 = 15/2 ( multiply 7 by 2 and add 1) 1 1/3 = 4/3 (multiply 1 by 3 and add 1)
Step 2: Divide the Fractions
Now, divide the two fractions:
(15/2) ÷ (4/3) = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
(15/2) × (3/4) = ?
Step 3: Multiply the Fractions
Multiply the numerators (15 × 3 = 45) and multiply the denominators (2 × 4 = 8):
45/8
Final Answer
Therefore, 7 1/2 divided by 1 1/3 as a fraction is:
45/8
So, the final answer is 45/8.
