Question

Use multiplying by 1 to find an expression equivalent to 3/14 with a denominator of 14 y.

Answer 1

as a matter of simplification, same/same = 1.

now, "same" could be anything whatsoever, you name it, a whole polynomial, a whole anything whatsoever.


`\bf \cfrac{√(2)}{√(2)}=\cfrac{√(3)}{√(3)}=\cfrac{100000000}{100000000}=\cfrac{eggs}{eggs}=\cfrac{miles}{miles}=\cfrac{\frac{\quad √(3)}{\sqrt[5]{17}}\quad }{\frac{√(3)}{\sqrt[5]{17}}}=\cfrac{whatever}{whatever}=1`

now, that said, let us use 1 in this case then ... hmmmm we simply need a "y" in the denominator, so we simply multiply the denominator AND numerator by "y", y/y = 1 btw.


`\bf \cfrac{3}{14}\cdot \cfrac{y}{y}\implies \cfrac{3y}{14y}`