2,1/6: / 52,100

It looks like you're trying to perform a division between a mixed number (2,1/6) and a fraction (52/100). First, let's convert the mixed number to an improper fraction. A mixed number combines a whole number with a fraction. In the case of 2,1/6, this means 2 whole units plus 1/6 of another unit. To convert the mixed number to an improper fraction: 1. Multiply the whole number by the denominator of the fraction (2 * 6 = 12). 2. Add the numerator of the fraction to that result (12 + 1 = 13). 3. Place the sum over the original denominator to form the new fraction (13/6). So 2,1/6 becomes 13/6. Next, let's simplify the fraction 52/100. Both the numerator and the denominator can be divided by 4: 52 ÷ 4 = 13 100 ÷ 4 = 25 So, 52/100 simplifies to 13/25. Now we can divide the two fractions: (13/6) / (13/25) When dividing fractions, you can multiply by the reciprocal of the divisor: (13/6) * (25/13) The 13s in the numerator of the first fraction and the denominator of the second fraction will cancel out: (1/6) * (25/1) Now, just multiply across: 1 * 25 = 25 (numerator) 6 * 1 = 6 (denominator) So, the result of the division (2,1/6) / (52/100) is 25/6. We can simplify this further by converting it back to a mixed number. To do this, we divide the numerator by the denominator: 25 ÷ 6 = 4 with a remainder of 1. Therefore, the final answer as a mixed number is 4,1/6.