To convert the mixed number 78 23 into a fraction, you first need to understand the components of the mixed number, which consists of a whole number and a proper fraction. In this case, 78 is the whole number and 23 is the numerator of the proper fraction.
First, convert the whole number into a fraction. The whole number 78 can be expressed as 78/1. Next, you want to combine this with the fraction 23. To do this effectively, you need to convert the whole number into a fraction with the same denominator as the fraction you have, which is not given in this case, but we typically consider it as having a denominator of 1.
Now, you calculate the improper fraction by multiplying the whole number part (78) by the denominator of the proper fraction (which we can assume is 1 unless another denominator is provided) and then adding the numerator (23). In this case, it would look like this:
Step 1: Multiply the whole number with its denominator:
78 x 1 = 78
Step 2: Add the numerator:
78 + 23 = 101
Step 3: Place this over the original denominator, which is 1:
So, the fraction for the mixed number 78 23 is:
101/1
Thus, the mixed number 78 23 can be written as the improper fraction 101/1.