Converting mixed numbers and improper fractions

Converting mixed numbers and improper fractions Fraction are very commonly used and very important form of representation of numbers. Fraction is usually written in the p/q form. Here p is the numerator and q is the denominator. The denominator of a fraction cannot be equal to zero i.e. q not equal to zero. Fraction where the numerator is lesser than the denominator p q is called as a proper fraction. A fraction where the numerator is greater than the denominator is called as improper fraction p q. An improper fraction can be converted to a mixed fraction. A mixed fraction is the combination of a whole number and a proper fraction. Example 1: Convert the mixed number 1 to improper fraction? Solution: The number is a mixed number 1 where 1 is the whole number part and is the proper fraction as the numerator is lesser than the denominator i.e. 3 4. The mixed number can be now converted to improper fraction. Therefore, 1 = (4*1 + 3)/ 4 = (4 + 3)/4 = 7/4 This gives 7/4 which is an improper fraction as 7 4. Hence, the mixed fraction gives 1 can be expressed as 7/4. Question: Multiple choice question (Pick the correct option.) Convert the mixed number 6 into improper fraction? a) 13/2 b) 7/2 c) 11/2 d) None of these. Correct answer: option a. The mixed number 6 can be now converted to improper fraction. Therefore, 6 = (6*2 + 1)/2 = (12 + 1)/2 = 13/2. This gives 13/2 which is an improper fraction.