6 1/2 - 7/8 divided by 5 11/16 as a fraction
When dealing with mixed numbers and fractions, it's essential to follow the correct order of operations to get the correct result. In this case, we need to perform subtraction and division operations to find the result of 6 1/2 - 7/8 divided by 5 11/16 as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions:
6 1/2 = 13/2 7/8 = 7/8 (already a fraction) 5 11/16 = 91/16
Step 2: Perform Subtraction
Now, let's perform the subtraction:
13/2 - 7/8 = ?
To subtract these fractions, we need to find a common denominator, which is 16. So, we'll convert both fractions to have a denominator of 16:
13/2 = 104/16 7/8 = 14/16
Now, subtract:
104/16 - 14/16 = 90/16
Step 3: Perform Division
Next, divide the result by 91/16:
90/16 ÷ 91/16 = ?
To divide fractions, we'll invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
90/16 × 16/91 = 90/91
Result as a Fraction
The result of 6 1/2 - 7/8 divided by 5 11/16 as a fraction is:
90/91
There you have it! The final answer is an improper fraction, 90/91.
