Question #05bea

2 Answers
Mar 11, 2017

1/(2/6)=1 xx 6/2=3126=1×62=3

22 sixths make a third

(1/3)/(1/6) =21316=2

Explanation:

For the first one and the third one, use the same concept of being able to flip the denominator if it was a fraction and change the question to multiplication.

For the second one, what you do is multiply 1/616 by 22 to get 1/313

1/6 xx 2 = 2/6=1/316×2=26=13

Mar 11, 2017

1-:2/6 = 31÷26=3

It takes two sixths to make 1/313

1/3 -: 1/6=213÷16=2

Explanation:

Using the shortcut method

Part 1: ->1-:2/61÷26

So that you fully understand what is going on write 1 as 1/111

1/1-:2/611÷26 turn the 2/626 upside down and multiply

1/1xx6/2 " "=" "(1xx6)/(1xx2) =6/211×62 = 1×61×2=62

6/2=(6-:2)/(2-:2) =3/1=362=6÷22÷2=31=3
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Part 2:->" how many sixths make "1/3 how many sixths make 13

Let the unknown number be xx

x/6=1/3x6=13

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way a value looks without changing 'what it is worth'.

color(green)(x/6=1/3color(red)(xx1))x6=13×1

color(green)(x/6=1/3color(red)(xx2/2))x6=13×22

x/6=(1xx2)/(3xx2) = 2/6x6=1×23×2=26

So it takes two sixths to make 1/313
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Part 3:->"What is "1/3 -: 1/6What is 13÷16

Using the shortcut method of turning upside down and multiplying

1/3-:1/613÷16 gives the same answer as 1/3xx6/113×61

(1xx6)/(3xx1) = (6-:3)/(3-:3) = 2/1=21×63×1=6÷33÷3=21=2