How many glasses of #0.5# litre of water can be poured from a pitcher which holds #6# litres?

2 Answers
Dec 20, 2017

#12# glasses

Explanation:

Imagine filling a large #6#-liter pitcher with #0.5# liter glasses. In order to get #1#whole glass of water into the pitcher, you need to pour in #2# glasses into the pitcher. Since the pitcher holds #6# liters, you need to pour in #2# glasses of water #3# times.

#2# glasses of water = #1# liter of water
#1# pitcher = #6# liters
#2 * 6 = 12#

Dec 20, 2017

#12# glasses

Explanation:

Every time you pour a glass of water, there is #0.5# litre less in the pitcher.

You could do this calculation by subtracting until you an answer of #0#, then count how many times you subtracted.

#6-0.5-0.5-0.5 .......=0#

However, division is a short cut for repeated subtraction.

'How many times can you subtract #0.5# from #6#?

#6 div 0.5#

  • Using decimals: #6/0.5 " "larr# get rid of the decimal.

#= 6/0.5 xx10/10#

# = 60/5 = 12# glasses

  • Using fractions: #6/1 div 1/2#

#= 6/1 xx2/1 = 12# glasses