Multiplying mixed numbers

Multiplying mixed numbers Different arithmetic operations such as multiplication can be used to solve fractions. Fractions are numbers which have numerator and the denominator of the p/q form. The denominator is not equal to zero. There are different types of fraction such as proper, improper and mixed fraction. The mixed number is a combination of a whole number and proper fraction. The fraction which has numerator greater than the denominator is the improper fraction. A mixed number can be changed into improper fraction and vice versa. Example 1: What is the answer when the mixed fractions 2 x 1 are multiplied? Solution: Given are two mixed fractions 2 and 1 . Change the mixed number into improper fractions: This gives 2 = (2 x 4 + 3)/4 = (8 + 3)/4 = 11/4. Then, 1 = (1 x 4 + 1)/4 = (4 + 1)/4 = 5/4. Multiplying the fractions gives 11/4 x 5/4 = 55/16. Converting 55/16 to a mixed fraction gives 3 7/16. Hence, the answer is 3 7/16. Question: Multiple choice question (Pick the correct option.) What is answer for multiplying 6/5 x 2 ? a) 1 b) 3 c) 2/3 d) None of these. Correct answer: option b. Given are two fractions 6/5 and 2 . Change the mixed fraction into improper fractions: This gives 2 = (2 x 2 + 1)/2 = (4 + 1)/2 = 5/2. Multiplying the fractions gives 6/5 x 5/2 = 6/2 = 3. Hence, the answer is 3.