How do you multiply 7/12 div 3/4712รท34?

1 Answer
Oct 17, 2016

color(blue)(7/9)79

Explanation:

we can get the quotient of fractions by simply multiplying the reciprocal of the second fraction to the first, it doesn't matter as the commutative property of multiplication is still obeyed :)

you can get quotient by:

(a/b)/(c/d) abcd

as the reciprocal of c/dcd is d/cdc,

(a/b)*(d/c)(ab)โ‹…(dc) = (ad)/(bc)adbc

we can apply the same property to the problem,

(7/12)*(3/4)(712)โ‹…(34) = ?

get the reciprocal of the second fraction, then multiply it,
numerator to numerator, denominator to denominator,

(7/12)*(4/3)(712)โ‹…(43) = ((7)(4))/((12)(3))(7)(4)(12)(3) = 28/362836

In mathematics, answers must always be in simplest form, so we must get the lowest term by dividing the number by its divisible numbers until there are no divisible number that can't be divided for both numerator and the denominator.

Divisible by 22 and 44,

28/(4)/36/(4)284/364 = 7/979

since, there are no single number that can divide both numerator and the denominator, hence, 7/979 is the final answer :)

= color(blue)(7/9)79