253+461=
To solve the addition of these mixed numbers, we'll follow these steps:
- Step 1: Convert each mixed number to an improper fraction.
- Step 2: Find a common denominator and add the fractions.
- Step 3: Convert the resulting improper fraction back to a mixed number.
Now, let's work through each step:
Step 1: Convert the mixed numbers:
For 253, convert to an improper fraction: 2×5+3=10+3=13, so 253=513.
For 461, convert to an improper fraction: 4×6+1=24+1=25, so 461=625.
Step 2: Addition of the fractions:
The denominators are 5 and 6. The least common denominator (LCD) is 30.
Convert 513 to 5×613×6=3078.
Convert 625 to 6×525×5=30125.
Now add: 3078+30125=3078+125=30203.
Step 3: Convert 30203 back to a mixed number:
Divide 203 by 30: The quotient is 6 and the remainder is 23.
Thus, 30203=63023.
Therefore, the solution to the problem is 63023, which matches choice 3.
63023