What is the answer to (16/7}{4/9}=\frac{9/14)/t ?

The answer to (16/7}{4/9}=\frac{9/14)/t is t= 1/8

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(16/7}{4/9}=\frac{9/14)/t

\frac{\frac{16}{7}}{\frac{4}{9}} = \frac{\frac{9}{14}}{t}

t = \frac{1}{8}

Decimal Notation

t = 0.125

Solution steps

\frac{\frac{16}{7}}{\frac{4}{9}} = \frac{\frac{9}{14}}{t}

Cross multiply

32 t = 4

Divide both sides by

32

t = \frac{1}{8}

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

t = \frac{1}{8}

(\frac{x}{( x + 5 )}) - (\frac{11 x}{( 11 x - 8 )}) + (\frac{7}{( 6 - 4 x )}) = 0

x^{- 4} - 6 x^{- 2} + 8 = 0

\frac{( x ) ^{2}}{( ( \frac{4}{5} ) ^{- 4} )} = (\frac{1}{x})^{2}

\frac{1}{( x + 1 )} + \frac{3}{( x + 4 )} = \frac{4}{( x + 3 )}

x, \frac{1}{( 2 x )} + \frac{1}{( 3 y )} = 2

What is the answer to (16/7}{4/9}=\frac{9/14)/t ?
The answer to (16/7}{4/9}=\frac{9/14)/t is t= 1/8
Solve for t: (16/7}{4/9}=\frac{9/14)/t
The solution is t= 1/8