Solve 0.29/frac{0.36{0.2}-6.9}=0.05

$$\frac { 0.29 } { \frac { 0.36 } { 0.2 } - 6.9 } = 0.05$$

Verify

Solution Steps

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

$$\frac{0.29}{\frac{36}{20}-6.9}=0.05$$

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

$$\frac{0.29}{\frac{9}{5}-6.9}=0.05$$

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

$$\frac{0.29}{\frac{9}{5}-\frac{69}{10}}=0.05$$

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

$$\frac{0.29}{\frac{18}{10}-\frac{69}{10}}=0.05$$

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

$$\frac{0.29}{\frac{18-69}{10}}=0.05$$

Subtract 69 from 18 to get -51.

$$\frac{0.29}{-\frac{51}{10}}=0.05$$

Divide 0.29 by -\frac{51}{10} by multiplying 0.29 by the reciprocal of -\frac{51}{10}.

$$0.29\left(-\frac{10}{51}\right)=0.05$$

Convert decimal number 0.29 to fraction \frac{29}{100}.

$$\frac{29}{100}\left(-\frac{10}{51}\right)=0.05$$

Multiply \frac{29}{100} times -\frac{10}{51} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29\left(-10\right)}{100\times 51}=0.05$$

Do the multiplications in the fraction \frac{29\left(-10\right)}{100\times 51}.

$$\frac{-290}{5100}=0.05$$

Reduce the fraction \frac{-290}{5100} to lowest terms by extracting and canceling out 10.

$$-\frac{29}{510}=0.05$$

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.

$$-\frac{29}{510}=\frac{1}{20}$$

Least common multiple of 510 and 20 is 1020. Convert -\frac{29}{510} and \frac{1}{20} to fractions with denominator 1020.

$$-\frac{58}{1020}=\frac{51}{1020}$$

Compare -\frac{58}{1020} and \frac{51}{1020}.

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