What is the answer to (9/5)/x =((3/2+1/4))/((1+7/9)) ?

The answer to (9/5)/x =((3/2+1/4))/((1+7/9)) is x= 64/35

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(9/5)/x =((3/2+1/4))/((1+7/9))

\frac{\frac{9}{5}}{x} = \frac{( \frac{3}{2} + \frac{1}{4} )}{( 1 + \frac{7}{9} )}

x = \frac{64}{35}

Decimal Notation

x = 1.82857 \dots

Solution steps

\frac{\frac{9}{5}}{x} = \frac{( \frac{3}{2} + \frac{1}{4} )}{( 1 + \frac{7}{9} )}

Cross multiply

9 (1 + \frac{7}{9}) = 5 x (\frac{3}{2} + \frac{1}{4})

Switch sides

5 x (\frac{3}{2} + \frac{1}{4}) = 9 (1 + \frac{7}{9})

Simplify

9 (1 + \frac{7}{9}) : 16

5 x (\frac{3}{2} + \frac{1}{4}) = 16

Divide both sides by

5 (\frac{3}{2} + \frac{1}{4})

x = \frac{64}{35}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{64}{35}

\frac{a}{x - 51} = 3

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

\frac{- 40}{x + 2} = \frac{- 30}{x}

\frac{( 4 b ^{2} - 2 b )}{( 10 b - 5 )} = \frac{10}{1}

2 x^{2} = (\frac{250}{x}) + 30 x

What is the answer to (9/5)/x =((3/2+1/4))/((1+7/9)) ?
The answer to (9/5)/x =((3/2+1/4))/((1+7/9)) is x= 64/35
Solve for x: (9/5)/x =((3/2+1/4))/((1+7/9))
The solution is x= 64/35