How do you simplify #\frac { \frac { 2} { 5} } { \frac { 1} { 2} }#?

3 Answers
Daniel L.
May 1, 2018

See explanation.

Explanation:

A quotient of 2 numbers can be written as a product of the first number and the reciprocal of the second:

#a-:b=axx1/b#

Here we have:

#2/5 -: color(red)(1/2)=2/5xx color(red)(2/1)=4/5#

Daniel Tan
May 1, 2018

#4/5#

Explanation:

In this kind of division, there's a specific formulae to calculate it.
You need to separate it into 4 parts, where for example :
# 2 = a, 5 = b, 1 = c, 2 = d#

Apply the formulae #ad -: cb#

⇒ #2*2-:5*1#
⇒ #4/5#

Jade
May 1, 2018

#4/5#

Explanation:

#(2/5)/(1/2)#

#rArr 2/5 xx 2/1#

( when denominator is changed to its reciprocal form )

#rArr 4/5#

Hope this helps :)

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