Solve -5*29/18+9=7-229/18/4

$$-5 \times \frac{ 29 }{ 18 } +9= \frac{ 7-2 \frac{ 29 }{ 18 } }{ 4 }$$

Verify

Solution Steps

Multiply both sides of the equation by 36, the least common multiple of 18,4.

$$-180\times \frac{29}{18}+324=9\left(7-\frac{2\times 18+29}{18}\right)$$

Express -180\times \frac{29}{18} as a single fraction.

$$\frac{-180\times 29}{18}+324=9\left(7-\frac{2\times 18+29}{18}\right)$$

Multiply -180 and 29 to get -5220.

$$\frac{-5220}{18}+324=9\left(7-\frac{2\times 18+29}{18}\right)$$

Divide -5220 by 18 to get -290.

$$-290+324=9\left(7-\frac{2\times 18+29}{18}\right)$$

Add -290 and 324 to get 34.

$$34=9\left(7-\frac{2\times 18+29}{18}\right)$$

Multiply 2 and 18 to get 36.

$$34=9\left(7-\frac{36+29}{18}\right)$$

Add 36 and 29 to get 65.

$$34=9\left(7-\frac{65}{18}\right)$$

Convert 7 to fraction \frac{126}{18}.

$$34=9\left(\frac{126}{18}-\frac{65}{18}\right)$$

Since \frac{126}{18} and \frac{65}{18} have the same denominator, subtract them by subtracting their numerators.

$$34=9\times \frac{126-65}{18}$$

Subtract 65 from 126 to get 61.

$$34=9\times \frac{61}{18}$$

Express 9\times \frac{61}{18} as a single fraction.

$$34=\frac{9\times 61}{18}$$

Multiply 9 and 61 to get 549.

$$34=\frac{549}{18}$$

Reduce the fraction \frac{549}{18} to lowest terms by extracting and canceling out 9.

$$34=\frac{61}{2}$$

Convert 34 to fraction \frac{68}{2}.

$$\frac{68}{2}=\frac{61}{2}$$

Compare \frac{68}{2} and \frac{61}{2}.

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