103:221=
To solve this division problem, we'll follow these outlined steps:
- Step 1: Convert the mixed number to an improper fraction.
- Step 2: Find the reciprocal of the improper fraction.
- Step 3: Multiply the first fraction by this reciprocal.
- Step 4: Simplify the result to get the final answer.
Let's go through each step in detail:
Step 1: Convert 221 to an improper fraction:
221 is equal to 2+21=24+21=25.
Step 2: Find the reciprocal of 25:
The reciprocal of 25 is 52.
Step 3: Multiply 103 by 52:
103×52=10×53×2=506.
Step 4: Simplify 506:
To simplify, we find the greatest common divisor of 6 and 50, which is 2:
506=253 after dividing the numerator and denominator by 2.
Therefore, the solution to the problem is 253. This matches choice 2.