The mass of mercury is 3/50, the mass of Mars is 11/100 and the mass of the moon is 2/250
The mass of mercury is 3/50, the mass of Mars is 11/100 and the mass of the moon is 2/250 of the mass of the earth. which of these cosmic bodies has the smallest mass.
To compare the masses of these bodies, you need to bring their ratio from the mass of the Earth to a common denominator. The common denominator for these fractions will be 500. Therefore, the numerator for the mass of Mercury must be multiplied by an additional factor of 10, and the numerator for the mass of Mars by 5, and the numerator for the mass of the Moon by 2:
Mercury: 3/50 = (10 * 3) / 500 = 30/500;
Mars: 11/100 = (5 * 11) / 500 = 55/500;
Moon: 2/250 = (2 * 2) / 500 = 4/500.
We write these fractions in the form of inequalities:
55/500> 30/500> 4/500
Thus, the fraction 4/500 = 2/250 is smaller than the other fractions.
Answer: The Moon has the smallest mass of the listed bodies.