Q.Program 7-9: Write a program that accepts numerator and denominator of a fractional number and calls a user defined function mixedFraction() when the fraction formed is not a proper fraction. The default value of denominator is 1. The function displays a mixed fraction only if the fraction formed by the parameters does not evaluate to a whole number.

A default parameter (deno=1) plus integer operators: // gives the whole part, % the remainder; a mixed fraction exists only when the remainder is non-zero.

def mixedFraction(num, deno=1):
    if num % deno == 0:
        print("The fraction evaluates to the whole number", num // deno)
    else:
        print("Mixed fraction:", num // deno, "+", str(num % deno) + "/" + str(deno))

num = int(input("Enter the numerator: "))
deno = int(input("Enter the denominator: "))
if num >= deno:              # not a proper fraction
    mixedFraction(num, deno)
else:
    print("It is a proper fraction")

Sample run — 17/5: quotient 3, remainder 2:

Enter the numerator: 17 …

The idea. Two Chapter-7 features meet here: a default parameter (if the caller omits the denominator it is taken as 1) and the division operators — // (integer quotient) and % (remainder) — which decompose an improper fraction into its mixed form: num/deno = (num // deno) + (num % deno)/deno.

# Program 7-9: display an improper fraction as a mixed fraction

def mixedFraction(num, deno=1):
    """Display num/deno as a mixed fraction, unless it is a whole number."""
    if num % deno == 0:
        print("The fraction evaluates to the whole number", num // deno)
    else:
        quotient = num // deno
        remainder = num % deno
        print("Mixed fraction:", quotient, "+", str(remainder) + "/" + str(deno))

num = int(input("Enter the numerator: "))
deno = int(input("Enter the denominator: "))
if num >= deno:                 # improper fraction (not proper)
    mixedFraction(num, deno)
else:
    print("It is a proper fraction")

Key lines

• def mixedFraction(num, deno=1) — deno has a default value; mixedFraction(7) would use deno = 1 (7/1, a whole number). Parameters with defaults must come after those without.
• num % deno == 0 — remainder zero means the fraction is a whole number, so no mixed fraction is shown (exactly what the question requires). …