Solve 1.2-0.75*10div0.6=0.2

$$1.2 - 0.75 \times 10 \div 0.6 = 0.2$$

Verify

Solution Steps

Multiply 0.75 and 10 to get 7.5.

$$1.2-\frac{7.5}{0.6}=0.2$$

Expand \frac{7.5}{0.6} by multiplying both numerator and the denominator by 10.

$$1.2-\frac{75}{6}=0.2$$

Reduce the fraction \frac{75}{6} to lowest terms by extracting and canceling out 3.

$$1.2-\frac{25}{2}=0.2$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}-\frac{25}{2}=0.2$$

Least common multiple of 5 and 2 is 10. Convert \frac{6}{5} and \frac{25}{2} to fractions with denominator 10.

$$\frac{12}{10}-\frac{125}{10}=0.2$$

Since \frac{12}{10} and \frac{125}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-125}{10}=0.2$$

Subtract 125 from 12 to get -113.

$$-\frac{113}{10}=0.2$$

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.

$$-\frac{113}{10}=\frac{1}{5}$$

Least common multiple of 10 and 5 is 10. Convert -\frac{113}{10} and \frac{1}{5} to fractions with denominator 10.

$$-\frac{113}{10}=\frac{2}{10}$$

Compare -\frac{113}{10} and \frac{2}{10}.

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