Answer:
To divide 17 1/2 by 1 1/4, we can convert both numbers to improper fractions and then perform the division.
Step 1: Convert the mixed numbers to improper fractions.
17 1/2 can be written as 35/2 because 17 times 2 is 34, and adding 1 gives us 35.
1 1/4 can be written as 5/4 because 1 times 4 is 4, and adding 1 gives us 5.
Step 2: Divide the numerator of the first fraction by the denominator of the second fraction.
So, 35/2 ÷ 5/4 becomes (35/2) * (4/5) because division is the same as multiplication by the reciprocal.
Step 3: Simplify the fraction.
Multiplying across gives us (35 * 4) / (2 * 5) = 140/10.
Step 4: Simplify the fraction further if possible.
The fraction 140/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10. Therefore, 140/10 simplifies to 14/1 or simply 14.
Therefore, 17 1/2 divided by 1 1/4 equals 14.
Alli <3