Solve .1=-3/10(60/10)+6

$$.1 = \frac { - 3 } { 10 } ( \frac { 60 } { 10 } ) + 6$$

Verify

Solution Steps

Fraction \frac{-3}{10} can be rewritten as -\frac{3}{10} by extracting the negative sign.

$$0.1=-\frac{3}{10}\times \frac{60}{10}+6$$

Divide 60 by 10 to get 6.

$$0.1=-\frac{3}{10}\times 6+6$$

Express -\frac{3}{10}\times 6 as a single fraction.

$$0.1=\frac{-3\times 6}{10}+6$$

Multiply -3 and 6 to get -18.

$$0.1=\frac{-18}{10}+6$$

Reduce the fraction \frac{-18}{10} to lowest terms by extracting and canceling out 2.

$$0.1=-\frac{9}{5}+6$$

Convert 6 to fraction \frac{30}{5}.

$$0.1=-\frac{9}{5}+\frac{30}{5}$$

Since -\frac{9}{5} and \frac{30}{5} have the same denominator, add them by adding their numerators.

$$0.1=\frac{-9+30}{5}$$

Add -9 and 30 to get 21.

$$0.1=\frac{21}{5}$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{1}{10}=\frac{21}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{1}{10} and \frac{21}{5} to fractions with denominator 10.

$$\frac{1}{10}=\frac{42}{10}$$

Compare \frac{1}{10} and \frac{42}{10}.

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