Question

jenny multiplies the numerator of a fraction by m and the denominator of the fraction by p to create an equivalent fraction. is m greater than, less than, or equal to p? Explain.

Answer 1

Answer: m is equal to p

Step-by-step explanation: In any given fraction, the numerator and denominator can assume any value. However to create another fraction that would be an equivalent of the given fraction, both numerator and denominator must change at the same rate, that is, they both must be multiplied by the same value.

To illustrate, we can create an equivalent fraction of 2/3 by multiplying both numerator and denominator by 2 and that gives us

2/3 x 2/2 = 4/6

When Jenny multiplies the numerator by m and multiplies the denominator by p to arrive at an equivalent fraction, it simply means that m and p are the same value. M is equal to P

Answer 2

m is equal to p

Explanation:

For an equivalent fraction to be gotten from an existing fraction, it means that the numerator and the denominator will change by the same degree, so that their combined effect will cancel out the change. Let me give an instance:

Assume a fraction, say
`(3)/(5)`,

if the numerator is multiplied by 2, and the denominator is also multiplied by 2, the resulting new fraction will be:

`(3*2)/(5*2) = (6)/(10)`

The fraction
`(6)/(10)` can be further reduced to give
`(3)/(5)` which is the original fraction. Therefore for an equivalent fraction to be formed, m and p must be equal.