43:131=
To solve this division problem, we will follow these steps:
- Step 1: Convert the mixed number to an improper fraction.
- Step 2: Replace division with multiplication by the reciprocal.
- Step 3: Perform the multiplication and simplify the result.
Let's begin with the solution:
Step 1: Convert the mixed number 131 into an improper fraction.
To convert, multiply 1 (the whole number) by 3 (the denominator) and add 1 (the numerator):
1×3+1=3+1=4
Therefore, 131=34.
Step 2: Write the division problem as multiplication by the reciprocal of 34.
The reciprocal of 34 is 43. So,
43÷131=43×43.
Step 3: Multiply the fractions and simplify if possible.
Multiply the numerators and the denominators:
Numerators: 3×3=9
Denominators: 4×4=16
Thus, 43×43=169.
No further simplification is required as 9 and 16 are relatively prime.
Therefore, the solution to the problem is 169.