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18 August, 22:40

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?

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  1. 18 August, 23:05
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    We start out with the only information we have â€" 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 â€" 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 â€" 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 â€" 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.
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