What is ((2 x/5 y))/((6 x/(15)y)) ?

The solution to ((2 x/5 y))/((6 x/(15)y)) is 1

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simplify ((2 x/5 y))/((6 x/(15)y))

simplify

\frac{( 2 \frac{x}{5} y )}{( 6 \frac{x}{15} y )}

1

Solution steps

\frac{2 \cdot \frac{x}{5} y}{6 \cdot \frac{x}{15} y}

Cancel the common factor:

y

= \frac{2 \cdot \frac{x}{5}}{6 \cdot \frac{x}{15}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot \frac{x}{5}}{2 \cdot 3 \cdot \frac{x}{15}}

Cancel the common factor:

2

= \frac{\frac{x}{5}}{3 \cdot \frac{x}{15}}

Simplify

\frac{\frac{x}{5}}{3 \cdot \frac{x}{15}} : 1

= 1

(3 x - 2) (2 x + 9)

\frac{- 3 + 21 i}{9 - 3 i}

3^{- 1 - 1}

x - \frac{3}{2}

- 62

What is ((2 x/5 y))/((6 x/(15)y)) ?
The solution to ((2 x/5 y))/((6 x/(15)y)) is 1