Express the ratio 3233\frac{2}{3} kg : 450 g : 3×1023\times10^{2} g in its simplest form. Answer ... : ... : ...

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Worked solution

1

1. Convert all three quantities to grams.

323 kg=113 kg=113×1000 g=110003 g3\dfrac{2}{3}\text{ kg}=\dfrac{11}{3}\text{ kg}=\dfrac{11}{3}\times1000\text{ g}=\dfrac{11000}{3}\text{ g}

450 g=450 g450\text{ g}=450\text{ g}

3×102 g=300 g3\times10^{2}\text{ g}=300\text{ g}

2. Form the ratio and simplify by a common factor.

Ratio:
110003:450:300\dfrac{11000}{3}:450:300

Multiply all parts by 33 to remove the fraction:
11000:1350:90011000:1350:900

Divide all parts by 100100:
110:13.5:9110:13.5:9

Answer

110:13.5:9110:13.5:9

AI analysis — may contain mistakes.

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