Solve (x-(x*4.4/100))4.38-0.60=29.4div4.38

$$( x - ( x \cdot \frac { 4.4 } { 100 } ) ) 4.38 - 0.60 = 29.4 \div 4.38$$

Solve for x

$$x = \frac{6672500}{3820893} = 1\frac{2851607}{3820893} \approx 1.746319512$$

Steps for Solving Linear Equation

Expand \frac{4.4}{100} by multiplying both numerator and the denominator by 10.

$$\left(x-x\times \frac{44}{1000}\right)\times 4.38-0.6=\frac{29.4}{4.38}$$

Reduce the fraction \frac{44}{1000} to lowest terms by extracting and canceling out 4.

$$\left(x-x\times \frac{11}{250}\right)\times 4.38-0.6=\frac{29.4}{4.38}$$

Combine x and -x\times \frac{11}{250} to get \frac{239}{250}x.

$$\frac{239}{250}x\times 4.38-0.6=\frac{29.4}{4.38}$$

Convert decimal number 4.38 to fraction \frac{438}{100}. Reduce the fraction \frac{438}{100} to lowest terms by extracting and canceling out 2.

$$\frac{239}{250}x\times \frac{219}{50}-0.6=\frac{29.4}{4.38}$$

Multiply \frac{239}{250} times \frac{219}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{239\times 219}{250\times 50}x-0.6=\frac{29.4}{4.38}$$

Do the multiplications in the fraction \frac{239\times 219}{250\times 50}.

$$\frac{52341}{12500}x-0.6=\frac{29.4}{4.38}$$

Expand \frac{29.4}{4.38} by multiplying both numerator and the denominator by 100.

$$\frac{52341}{12500}x-0.6=\frac{2940}{438}$$

Reduce the fraction \frac{2940}{438} to lowest terms by extracting and canceling out 6.

$$\frac{52341}{12500}x-0.6=\frac{490}{73}$$

Add 0.6 to both sides.

$$\frac{52341}{12500}x=\frac{490}{73}+0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{52341}{12500}x=\frac{490}{73}+\frac{3}{5}$$

Least common multiple of 73 and 5 is 365. Convert \frac{490}{73} and \frac{3}{5} to fractions with denominator 365.

$$\frac{52341}{12500}x=\frac{2450}{365}+\frac{219}{365}$$

Since \frac{2450}{365} and \frac{219}{365} have the same denominator, add them by adding their numerators.

$$\frac{52341}{12500}x=\frac{2450+219}{365}$$

Add 2450 and 219 to get 2669.

$$\frac{52341}{12500}x=\frac{2669}{365}$$

Multiply both sides by \frac{12500}{52341}, the reciprocal of \frac{52341}{12500}.

$$x=\frac{2669}{365}\times \frac{12500}{52341}$$

Multiply \frac{2669}{365} times \frac{12500}{52341} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2669\times 12500}{365\times 52341}$$

Do the multiplications in the fraction \frac{2669\times 12500}{365\times 52341}.

$$x=\frac{33362500}{19104465}$$

Reduce the fraction \frac{33362500}{19104465} to lowest terms by extracting and canceling out 5.

$$x=\frac{6672500}{3820893}$$