Question

"The diameter of Pluto is 6/17 the diameter of Mars. Mars has 17/300 the diameter of Saturn. What fraction of the diameter of Saturn is the diameter of Pluto?"

Answer 1

1/50 This is just a matter of multiplying the two fractions you've been given together. You can make things easier for you by doing some reduction of the fraction before you multiply the numbers together. 6/17 * 17/300 = (6 * 17)/(17 * 300) Since you have a factor of 17 both top and bottom, they cancel each other out, giving (6 * 17)/(17 * 300) = 6/300 And since the greatest common factor for 6 and 300 is 6, you can divide both top and bottom by 6 giving 6/300 = 1/50 So Pluto as 1/50 of the diameter as Saturn.