Solve 0.2-4.5*1/5=2.1

$$0.2-4.5 \times \frac{ 1 }{ 5 } =2.1$$

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Solution Steps

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$0.2-\frac{9}{2}\times \frac{1}{5}=2.1$$

Multiply \frac{9}{2} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$0.2-\frac{9\times 1}{2\times 5}=2.1$$

Do the multiplications in the fraction \frac{9\times 1}{2\times 5}.

$$0.2-\frac{9}{10}=2.1$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}-\frac{9}{10}=2.1$$

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{9}{10} to fractions with denominator 10.

$$\frac{2}{10}-\frac{9}{10}=2.1$$

Since \frac{2}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-9}{10}=2.1$$

Subtract 9 from 2 to get -7.

$$-\frac{7}{10}=2.1$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$-\frac{7}{10}=\frac{21}{10}$$

Compare -\frac{7}{10} and \frac{21}{10}.

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