Solve x-(17.4*1/60)=(17*1/60)

$$x-(17.4 \times \frac{ 1 }{ 60 } )=(17 \times \frac{ 1 }{ 60 } )$$

Solve for x

$$x=\frac{43}{75}\approx 0.573333333$$

Steps for Solving Linear Equation

Convert decimal number 17.4 to fraction \frac{174}{10}. Reduce the fraction \frac{174}{10} to lowest terms by extracting and canceling out 2.

$$x-\frac{87}{5}\times \frac{1}{60}=17\times \frac{1}{60}$$

Multiply \frac{87}{5} times \frac{1}{60} by multiplying numerator times numerator and denominator times denominator.

$$x-\frac{87\times 1}{5\times 60}=17\times \frac{1}{60}$$

Do the multiplications in the fraction \frac{87\times 1}{5\times 60}.

$$x-\frac{87}{300}=17\times \frac{1}{60}$$

Reduce the fraction \frac{87}{300} to lowest terms by extracting and canceling out 3.

$$x-\frac{29}{100}=17\times \frac{1}{60}$$

Multiply 17 and \frac{1}{60} to get \frac{17}{60}.

$$x-\frac{29}{100}=\frac{17}{60}$$

Add \frac{29}{100} to both sides.

$$x=\frac{17}{60}+\frac{29}{100}$$

Least common multiple of 60 and 100 is 300. Convert \frac{17}{60} and \frac{29}{100} to fractions with denominator 300.

$$x=\frac{85}{300}+\frac{87}{300}$$

Since \frac{85}{300} and \frac{87}{300} have the same denominator, add them by adding their numerators.

$$x=\frac{85+87}{300}$$

Add 85 and 87 to get 172.

$$x=\frac{172}{300}$$

Reduce the fraction \frac{172}{300} to lowest terms by extracting and canceling out 4.

$$x=\frac{43}{75}$$