To convert the mixed number 4 7/10 into an improper fraction, we need to follow a couple of steps. First, we multiply the whole number by the denominator of the fraction. In this case, we multiply 4 (the whole number) by 10 (the denominator):
4 × 10 = 40
Next, we add the result to the numerator of the fraction. So we take our 40 and add the numerator, which is 7:
40 + 7 = 47
Now, we place this result over the original denominator to form the improper fraction. Thus, we have:
47/10
Consequently, the mixed number 4 7/10 when converted to an improper fraction is 47/10.