A jug contains $2.45$ $2.45$ liters of cranberry juice. A bottle contains $2 \frac{13}{25}$ $2 13/25$ 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 $2 \frac{13}{25}$ $2(13)/25$ liters

convert $2 \frac{13}{25}$ $2(13)/25$ into a single fraction 2 x 25 + 13 = $\frac{63}{25}$ $63/25$

$\frac{63}{25}$ $63/25$ of $1$ $1$ liter:

$(\frac{63}{25}) \cdot 1$ $(63/25) * 1$

i.e $\frac{63}{25} = 2.52$ $63/25 = color(blue)(2.52)$ liters

Amount in bottle - amount in jug:

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

$0.07$ $color(blue)(0.07)$ liters less

Answer 2 · 2017-09-11T15:43:05

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

We can see that $0.45$ $0.45$ is less than $\frac{1}{2} (0.45 < 0.50)$ $1/2" " (0.45 <0.50)$

while $\frac{13}{25}$ $13/25$ is slightly more than $\frac{1}{2} (\frac{12 \frac{1}{2}}{25} < \frac{13}{25})$ $1/2" "((12 1/2)/25 < 13/25)$ .

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 $100$ $100$

$2 \frac{13}{25} = 2 \frac{13 \times 4}{25 \times 4} = 2 \frac{52}{100} = 2.52$ $2 13/25 = 2 (13xx4)/(25xx4) = 2 52/100 =2.52$

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

$2.52 - 2.45 = 0.07$ $2.52 -2.45 = 0.07$ litres

A jug contains 2.452.45 liters of cranberry juice. A bottle contains 213252 13/25 liters of grape juice. Which container holds less fruit juice? How much less?