Question

kok yang's mass is 2/7 of Melvin's mass. Express Melvin's mass as a fraction of Kok yang's mass? What is the ratio of Kok Yang's mass to Melvin's mass?What is the ratioof Melvin's mass to the total mass?

Answer 1

Melvin's mass expressed as a fraction of Kok Yang's mass is 7/2. The ratio of Kok Yang's mass to Melvin's mass is 2:7, and the ratio of Melvin's mass to the total mass of both combined is 7:9.

Step-by-step explanation:

If Kok Yang's mass is 2/7 of Melvin's mass, we need to express Melvin's mass as a fraction of Kok Yang's mass. To do this, we set Kok Yang's mass to 1 (as a convenient reference) and Melvin's mass then becomes 7/2 times Kok Yang's mass, since 1 is 2/7 of 7/2. Therefore, Melvin's mass in terms of Kok Yang's mass is 7/2.

The ratio of Kok Yang's mass to Melvin's mass, given that Kok Yang's mass is 2/7 of Melvin's mass, is simply 2:7.

Answer 2

We start out with the only information we have – Kok Yang’s mass (k) expressed as a fraction of Melvin’s (m): k=2/7m In order to express Melvin’s mass as a fraction of Kok Yang’s, we need to find what m is equal at – and the easiest way to do this would be to remove anything but m from that side of the equation. Now, since we can add new operations to an existing equation – the only requirement is that we have to add the same operation to both of its sides -, we’ll just divide both of them by 2/7: k/(2/7)=(2/7)/(2/7)m (k/1)/(2/7)=1*m (7*k)/1*2=1*m 7/2k=m, thus only leaving m on its side, and showing what it’s equal at on the other. Melvin’s mass is 7/2 of Kok Yang’s. The ratio of Kok Yang’s mass to Melvin’s mass can be expressed as k:m or k/m, and can be derived in a similar manner and using the same equation as above: k=2/7m, except that this time we need to find what k/m is equal at. The easiest way to do this would be to once again add a new operation to both sides of the equation – this time, dividing them by m: k/m=2/7(m/m) k/m=2/7 The ratio of Kok Yang’s mass to Melvin’s is 2 to 7. The ratio of Melvin’s mass to the total mass (k+m) can be expressed as m:(k+m) or m/(k+m), and can be calculated by using one of the equations above. Since we’re looking for ratio of Melvin’s mass to something, let’s choose to use m=7/2k, and calculate the total first: k+m=k+7/2k=(2k+7k)/2=9/2k Now, we look for the ratio of m to the total: m/(k+m)=(7/2k)/(9/2k)=7/9 THe ratio of Melvin’s mass to the total mass is 7 to 9.