632:221=
To solve this problem, we'll follow these steps:
- Step 1: Convert each mixed number to an improper fraction.
- Step 2: Divide the fractions by multiplying by the reciprocal of the divisor.
- Step 3: Simplify the resulting improper fraction and convert it back to a mixed number.
Let's work through these steps:
Step 1: Convert the mixed numbers:
632=36×3+2=320
221=22×2+1=25
Step 2: Divide the fractions:
To divide 320 by 25, we multiply by the reciprocal of 25:
320×52=3×520×2=1540
Step 3: Simplify and convert back:
Simplify 1540:
The greatest common divisor of 40 and 15 is 5:
1540=38
Convert 38 to a mixed number:
8÷3=2 remainder 2, so 38=232.
Therefore, the solution to the problem is 232.