Solve 0.36/frac{0.36{0.2}-6.9}=0.05

$$\frac { 0.36 } { \frac { 0.36 } { 0.2 } - 6.9 } = 0.05$$

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Solution Steps

Expand \frac{0.36}{0.2} by multiplying both numerator and the denominator by 100.

$$\frac{0.36}{\frac{36}{20}-6.9}=0.05$$

Reduce the fraction \frac{36}{20} to lowest terms by extracting and canceling out 4.

$$\frac{0.36}{\frac{9}{5}-6.9}=0.05$$

Convert decimal number 6.9 to fraction \frac{69}{10}.

$$\frac{0.36}{\frac{9}{5}-\frac{69}{10}}=0.05$$

Least common multiple of 5 and 10 is 10. Convert \frac{9}{5} and \frac{69}{10} to fractions with denominator 10.

$$\frac{0.36}{\frac{18}{10}-\frac{69}{10}}=0.05$$

Since \frac{18}{10} and \frac{69}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0.36}{\frac{18-69}{10}}=0.05$$

Subtract 69 from 18 to get -51.

$$\frac{0.36}{-\frac{51}{10}}=0.05$$

Divide 0.36 by -\frac{51}{10} by multiplying 0.36 by the reciprocal of -\frac{51}{10}.

$$0.36\left(-\frac{10}{51}\right)=0.05$$

Convert decimal number 0.36 to fraction \frac{36}{100}. Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.

$$\frac{9}{25}\left(-\frac{10}{51}\right)=0.05$$

Multiply \frac{9}{25} times -\frac{10}{51} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-10\right)}{25\times 51}=0.05$$

Do the multiplications in the fraction \frac{9\left(-10\right)}{25\times 51}.

$$\frac{-90}{1275}=0.05$$

Reduce the fraction \frac{-90}{1275} to lowest terms by extracting and canceling out 15.

$$-\frac{6}{85}=0.05$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{6}{85}=\frac{1}{20}$$

Least common multiple of 85 and 20 is 340. Convert -\frac{6}{85} and \frac{1}{20} to fractions with denominator 340.

$$-\frac{24}{340}=\frac{17}{340}$$

Compare -\frac{24}{340} and \frac{17}{340}.

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