Converting an Improper Fraction into a Mixed Fraction

To convert an improper fraction into a mixed fraction, follow these steps:

Step 1: Divide the numerator by the denominator
In this case, we have the fraction 92/13. Divide the numerator (92) by the denominator (13).

92 ÷ 13 = 7

Step 2: Write down the whole number
The quotient obtained in the previous step represents the whole number of the mixed fraction. In our case, the whole number is 7.

Step 3: Determine the remainder
To find the remainder, multiply the quotient obtained in Step 1 by the denominator.

7 × 13 = 91

Subtract the product from the numerator.

92 - 91 = 1

Step 4: Write the mixed fraction
The mixed fraction consists of the whole number obtained in Step 2 and the remainder obtained in Step 3, written as a fraction with the same denominator as the original fraction.

Therefore, the mixed fraction for 92/13 is 7 1/13.

Explanation

When we have an improper fraction, it means that the numerator is greater than the denominator. In this case, 92 is greater than 13. To convert it into a mixed fraction, we need to determine how many whole parts there are and what is left over.

By dividing the numerator (92) by the denominator (13), we find that the quotient is 7. This means that we have 7 whole parts.

Next, we multiply the whole number (7) by the denominator (13) to find the nearest multiple of the denominator that is less than the numerator. In this case, 7 × 13 = 91.

We subtract this product from the numerator (92 - 91) to find the remainder, which is 1.

Finally, we write the mixed fraction as 7 1/13, where 7 represents the whole parts and 1/13 represents the remaining part.