What is ((3x))/((7y))*((49y))/((9x)) ?

The solution to ((3x))/((7y))*((49y))/((9x)) is 7/3

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simplify ((3x))/((7y))*((49y))/((9x))

simplify

\frac{( 3 x )}{( 7 y )} \cdot \frac{( 49 y )}{( 9 x )}

\frac{7}{3}

Decimal Notation

2.33333 \dots

Solution steps

\frac{3 x}{7 y} \cdot \frac{49 y}{9 x}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 x \cdot 49 y}{7 y \cdot 9 x}

Cancel the common factor:

x

= \frac{3 \cdot 49 y}{7 y \cdot 9}

Cancel the common factor:

y

= \frac{3 \cdot 49}{7 \cdot 9}

Factor the number:

9 = 3 \cdot 3

= \frac{3 \cdot 49}{7 \cdot 3 \cdot 3}

Cancel the common factor:

3

= \frac{49}{7 \cdot 3}

Factor the number:

49 = 7 \cdot 7

= \frac{7 \cdot 7}{7 \cdot 3}

Cancel the common factor:

7

= \frac{7}{3}

sec^{2} (a) + \frac{tan ( a )}{tan ( a )}

a^{1} + d (n - 1)

f (y) = 6 y^{6} - 1

\frac{( 6 ) 4}{( a ^{3} ) ^{7}}

a^{0} + b^{0} + c^{0}

What is ((3x))/((7y))*((49y))/((9x)) ?
The solution to ((3x))/((7y))*((49y))/((9x)) is 7/3