Converting a mixed number into an improper fraction is a straightforward process. Just follow these simple steps:
- Understand the components of a mixed number: A mixed number consists of a whole number and a proper fraction. For example, in the mixed number 3 1/2, 3 is the whole number and 1/2 is the proper fraction.
- Convert the whole number into a fraction: To do this, multiply the whole number by the denominator of the fraction. In our example, you would multiply 3 (the whole number) by 2 (the denominator of the fraction) to get 6.
- Add the numerator of the fraction: Now, take the result from the previous step (which is 6) and add the numerator of the mixed number’s fraction part. In this case, you would add 1 (the numerator) to 6 to get 7.
- Write the improper fraction: Place the sum from the previous step (which is 7) over the original denominator of the fraction part (which is 2). This gives you 7/2. Therefore, the mixed number 3 1/2 converts to the improper fraction 7/2.
In summary, the formula to convert a mixed number A B/C into an improper fraction is:
Improper Fraction = (A * C + B) / C
With practice, converting mixed numbers to improper fractions will become an easy task for you!