4/5 of sarah's pens are equal to 1/3 of matt's pens. express the number of matt's pens as a fraction of the total number of pens he and sarah have.

Fraction is

Step-by-step explanation:

Let x be the number of Matt's pen

and y be the number of Sarah's pen

4/5 of Sarah's pen (y) = 1/3 of Matt's pen (x)

So equation becomes

Solve for y

Multiply both sides by 5/4

Total number of Matt's and Sarah's pen = x+y

Total number of pens =

Take LCD 12

Now add the numerators

To express the number of Matts pens as a fraction

We divide the number of Matt's pen 'x'  by the total number of pens

we cancel out x at the top and bottom

Take reciprocal of 17/12 and multiply with top 1

So answer is 12/ 17

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step-by-step explanation:

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