Multiplying mixed numbers

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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 ¾ x 1 ¼ are multiplied?
Solution: Given are two mixed fractions 2 ¾ and 1 ¼.
Change the mixed number into improper fractions:
This gives 2 ¾ = (2 x 4 + 3)/4 = (8 + 3)/4 = 11/4.
Then, 1 ¼ = (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 ½?
a)    1                      b) 3               c) 2/3              d) None of these.
 
Correct answer: option b.
Given are two fractions 6/5 and 2 ½.
Change the mixed fraction into improper fractions:
This gives 2 ½ = (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. 

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