Best shown with an example.
Say 2/3 X 5 4/5
#1 convert to an Improper (top heavy) fraction
Hence 2/3 X 29/5
#2 cancel down where possible. In this case cannot cancel down; no common factors.
#3 ; multiply the numerators(top) together, and then multiply the denominators(botton).
Hence
58/15
#4 ; Convert back to a mixed number.
58/15 = 3 13/15 The answer!!!!
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Convert the mixed number to an improper fraction and proceed with the multiplication.
The question is ambiguous. Do you want to know how to multiply a fraction by a whole number, as well as by a mixed number? Or are you asking how to multiply a whole number by a mixed number and express the product as a fraction? Or what?
Any fraction can be multiplied by a whole number so that the product is a whole number. Simply multiply the fraction (in rational form) by its denominator.
First you have to multiply the whole number with the top number in your fraction. REMEMBER TO KEEP THE BOTTOM NUMBER THE SAME!!!!! Your number will be an irregular fraction.
The mixed number consists of a whole number and a fraction. Multiply the denominator of the fraction portion by the whole number and to this product add the numerator of the fraction portion. This value is the numerator of the new improper fraction. The denominator of the new improper fraction is the same as the denominator of the original fraction portion of the mixed number.
In that case, the result will be smaller than your positive whole number.