The numerator of a fraction that is written in simplest form is 4 less than the denominator. If you multiply the numerator by 2 and increase the denominator by 14, the new fraction is less than the original fraction by 1/3 of it.

9514 1404 393

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Step-by-step explanation:

Let n represent the numerator of the original fraction. Then its denominator is n+4. The new fraction is ...

So, the original fraction is ...

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n

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .