Question #d9b10
2 Answers
A fraction "of" can be written as the fraction times.
Explanation:
Multiplying fraction is nice! it's the easier thing to do because we just multiply top times top and bottom times bottom. (For adding or subtracting we need the same denominator -- for multiplying we don't.)
Usually we would reduce this answer to lowest terms. We'll remove factors that are common to the top and bottom.
Explanation:
We will use three concepts:
- Given a number
#x# , half of#x# is the same as#x xx 1/2# .
For example, half of#22# is#22xx1/2 = 11# - The product of two fractions
#a/b# and#c/d# is#a/bxxc/d = (ab)/(cd)# - If the numerator and denominator of a fraction share a factor, we may cancel that factor.
#(acancel(c))/(bcancel(c))=a/b#
Using the first concept, we have that half of
Using the second, we have
Using the third, we get our final result: