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How you explain depends on your knowledge and that of the person tat you are trying to explain to.

Start with the ratio of the integers 4 and 5 which is 4 over 5 or 4/5.

If you separately multiply the numerator (4) and the denominator (5) by the number 2 you get 4*2 = 8 and 5*2 = 10

The ratio of these two numbers is 8/10 but because of the way you obtained these numbers, the ratio has the same value. That is, also the same as 4/5.

Multiply both part of the original ratio by 3 to get 12/15.

You can multiply the two numbers by any non-zero number to get an equivalent ratio although if you multiply by a fractional number, the results may be a bit hard to understand. For example, multiplying by 1/16 gives the ratio of 1/4 over 5/16. Not so easy to see the equivalence to 4/5 unless you know that dividing by a fraction is the same as multiplying by its reciprocal.

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11y ago
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Q: How do you explain that 8 over 10 and 12 over 15 is equivalent to 4 over 5?
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