Asia is doing an art project with different colours of sand to be displayed in a clear 2 litre jar. She wants to use (1)/(2) litre of red sand, (1)/(4) litre of blue sand, (3)/(8) litre of green sand, and (5)/(8) litre of purple sand. Is the jar large enough for Asia's project? Explain how you know.

Calculate Sand Volumes: To determine if the jar is large enough, we need to add up the volumes of red, blue, green, and purple sand that Asia wants to use.Add Red and Blue Sand: First, we add the volume of red sand (1/2 litre) to the volume of blue sand (1/4 litre): (1/2) + (1/4) = (2/4) + (1/4) = (3/4) litre.Add Green and Purple Sand: Next, we add the volume of green sand (3/8 litre) to the volume of purple sand (5/8 litre): (3/8) + (5/8) = (8/8) = 1 litre.Combine All Sand Volumes: Now, we add the total volume of red and blue sand (3/4 litre) to the total volume of green and purple sand (1 litre): (3/4) + 1 = (3/4) + (4/4) = (7/4) litres.Compare Total Volume: Finally, we compare the total volume of sand (7/4 litres) to the capacity of the jar (2 litres): 7/4 litres is less than 2 litres.

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Asia is doing an art project with different colours of sand to be displayed in a clear 2 litre jar. She wants to use (1)/(2) litre of red sand, (1)/(4) litre of blue sand, (3)/(8) litre of green sand, and (5)/(8) litre of purple sand. Is the jar large enough for Asia's project? Explain how you know.

Asia is doing an art project with different colours of sand to be displayed in a clear $2$ litre jar. She wants to use $\frac{1}{2}$ litre of red sand, $\frac{1}{4}$ litre of blue sand, $\frac{3}{8}$ litre of green sand, and $\frac{5}{8}$ litre of purple sand. Is the jar large enough for Asia's project? Explain how you know.

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Q. Asia is doing an art project with different colours of sand to be displayed in a clear

2

litre jar. She wants to use

\frac{1}{2}

litre of red sand,

\frac{1}{4}

litre of blue sand,

\frac{3}{8}

litre of green sand, and

\frac{5}{8}

litre of purple sand. Is the jar large enough for Asia's project? Explain how you know.

Calculate Sand Volumes: To determine if the jar is large enough, we need to add up the volumes of red, blue, green, and purple sand that Asia wants to use.
Add Red and Blue Sand: First, we add the volume of red sand $(1/2)$ litre to the volume of blue sand $(1/4)$ litre: $(1/2) + (1/4) = (2/4) + (1/4) = (3/4)$ litre.
Add Green and Purple Sand: Next, we add the volume of green sand $(\frac{3}{8}$ litre) to the volume of purple sand $(\frac{5}{8}$ litre): $(\frac{3}{8}) + (\frac{5}{8}) = (\frac{8}{8}) = 1$ litre.
Combine All Sand Volumes: Now, we add the total volume of red and blue sand $(\frac{3}{4} \text{ litre})$ to the total volume of green and purple sand $(1 \text{ litre}):$ $\newline$ $(\frac{3}{4}) + 1 = (\frac{3}{4}) + (\frac{4}{4}) = (\frac{7}{4}) \text{ litres}.$
Compare Total Volume: Finally, we compare the total volume of sand \frac{$7$}{$4$}\ litres) to the capacity of the jar $\(2\ litres): rac{\(7$}{$4$}\ litres) is less than \(\(2\ litres).