The mass of Mercury is 3/50, the mass of Mars is 11/100, and the mass of the Moon

The mass of Mercury is 3/50, the mass of Mars is 11/100, and the mass of the Moon is 3/250 of the mass of the Earth. Which of these celestial bodies has a large mass?

Since the amount of mass of the planets is given as fractions with different denominators, we will reduce all fractions to a common denominator. To do this, we define the LCM:

Mercury – 50 = 2 * 5 * 5;

Mars – 100 = 2 * 2 * 5 * 5;

Moon – 250 = 2 * 5 * 5 * 5.

LCM: 2 * 2 * 5 * 5 * 5 = 500.

Mercury: 3/50 = 3 * 10/50 * 10 = 300/500.

Mars: 11/100 = 11 * 5/100 * 5 = 55/500.

Moon: 3/250 = 3 * 2/250 * 2 = 6/500.

Conclusion: 300> 55> 6 – the mass of Mercury is greater than the mass of Mars or the Moon.



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