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A frog covers a distance of [tex][tex]$2 \frac{3}{4}$[/tex][/tex] feet in one leap. At this rate, the frog can cover a distance of [tex][tex]$\square$[/tex][/tex] feet in eight leaps.

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Sagot :

Let's determine the distance a frog covers in eight leaps, given that it covers [tex]\( 2\frac{3}{4} \)[/tex] feet in one leap.

1. Convert the mixed fraction to an improper fraction:
[tex]\[ 2 \frac{3}{4} \text{ feet} = 2 + \frac{3}{4} \][/tex]
Simplifying this, we get:
[tex]\[ 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \text{ feet} \][/tex]
Converting [tex]\(\frac{11}{4}\)[/tex] to a decimal:
[tex]\[ \frac{11}{4} = 2.75 \text{ feet} \][/tex]

2. Calculate the total distance covered in eight leaps:
Each leap covers [tex]\( 2.75 \)[/tex] feet. If the frog makes 8 leaps, the total distance covered is:
[tex]\[ 2.75 \text{ feet} \times 8 = 22.0 \text{ feet} \][/tex]

So, the frog can cover a distance of [tex]\( 22.0 \)[/tex] feet in eight leaps. Select [tex]\( 22.0 \)[/tex] feet from the drop-down menu.