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?

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.