A jug contains #2.45# liters of cranberry juice. A bottle contains #2 13/25# liters of grape juice. Which container holds less fruit juice? How much less?

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Answer 1 · 2017-09-11T15:30:12

The jug holds. 0.07 liters less

The jug contains 2.45 liters.

The bottle contains #2(13)/25# liters

convert #2(13)/25# into a single fraction 2 x 25 + 13 = #63/25#

#63/25# of #1# liter:

#(63/25) * 1#

i.e #63/25 = color(blue)(2.52)# liters

Amount in bottle - amount in jug:

#2.52 - 2.45 = color(blue)(0.07)#

#color(blue)(0.07)# liters less

Answer 2 · 2017-09-11T15:43:05

The jug holds #0.07# litres less than the bottle.

We can see that #0.45# is less than #1/2" " (0.45 <0.50)#

while #13/25# is slightly more than #1/2" "((12 1/2)/25 < 13/25)#.

Therefore the jug contains less juice, but by how much?

Numbers have to be in the same form to be accurately compared.

Convert the mixed number into a decimal by making the denominator #100#

#2 13/25 = 2 (13xx4)/(25xx4) = 2 52/100 =2.52#

The measurements are both in litres, so now we can find the difference.

#2.52 -2.45 = 0.07# litres