Solved on Sep 17, 2023

Find the ratio of green (0.8 m), blue (1.6 m), and red (0.6 m) paint segments on a pole. Express the ratio in simplest form using whole numbers.

STEP 1

Assumptions1. The length of the segment painted in green is0.8 m. The length of the segment painted in blue is1.6 m3. The length of the segment painted in red is0.6 m4. The ratio is to be given in its simplest form using whole numbers only

STEP 2

We need to find the ratio of the lengths of green to blue to red. The ratio is found by dividing each length by the smallest length.
Ratio=GreenRedBlueRedRedRedRatio = \frac{Green}{Red} \frac{Blue}{Red} \frac{Red}{Red}

STEP 3

Now, plug in the given values for the lengths of green, blue, and red to calculate the ratio.
Ratio=0.80.61.60.60.60.6Ratio = \frac{0.8}{0.6} \frac{1.6}{0.6} \frac{0.6}{0.6}

STEP 4

Calculate the ratio.
Ratio=1.332.671Ratio =1.332.671

STEP 5

As we need the ratio in its simplest form using whole numbers only, we can multiply each term in the ratio by3 to get rid of the decimal points.
Ratio=1.33×32.67×31×3Ratio =1.33 \times32.67 \times31 \times3

STEP 6

Calculate the final ratio.
Ratio=483Ratio =483The ratio of the lengths of green to blue to red is483.

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