fractions??

Question

how do you multiply mixed numbers?

Answer 1

convert each "mixed number" into a ratio of two integers
say a/b and c/d ..
multiply a/b * c/d = ac/bd

for example to multply 5 and 1/3 by 2 and 1/4
observe:
5 & 1/3 = 15/3 + 1/3 = 16/3

2 and 1/4 = 8/4 + 1/4 = 9/4

if we say 16/3 = a/b { a = 16, b = 3}

and 9/4 = c/d { c = 9, d = 4}

then the product
a/b * c/d = ac/bd = 16*9 / 3 * 4 = 144 / 12 = 12

to "check", multiply 5.33 * 2.25 = 11.99925 which apprx "12"

Answer 2

Turn the Mixed Numbers into Improper Fraction (4 and 1 over 2) by multiplying the whole number by the denominator (4 x 2) then add the numerator (4X2+1=9) and the denominator stays the same and you do the same thing with the other number the x and simplify as usual (numerator x numerator, denominator x denominator) and turn it back to a mixed fraction or whole number.

Answer 3

turn them into improper fractions and multiply them the way you do regular ones. like 2 1/2 (5 2/2) becomes 5/2 times 12/2 and 5/2 times 12/2( which is also 6) is 60/2 or 30. hope this helps.

Answer 4

Tranfer all fractions to decimals - multply and then transfer back

Answer 5

(a b/c)(d e/f) =
((ac + b)/c)((df + e)/f) =
((ac + b)(df + e))/(cf)

if you have
(-a b/c)(d e/f) = -(a b/c)(d e/f)

if you have

(-a b/c)(-d e/f) = (a b/c)(d e/f)

if you have

(a b/c)(-d e/f) = -(a b/c)(d e/f)