Solve -1.2-1.5/1.75*0.25

$$-1.2- \frac{ 1.5 }{ 1.75 } \times 0.25$$

Evaluate

$$-\frac{99}{70}\approx -1.414285714$$

Solution Steps

Expand \frac{1.5}{1.75} by multiplying both numerator and the denominator by 100.

$$-1.2-\frac{150}{175}\times 0.25$$

Reduce the fraction \frac{150}{175} to lowest terms by extracting and canceling out 25.

$$-1.2-\frac{6}{7}\times 0.25$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$-1.2-\frac{6}{7}\times \frac{1}{4}$$

Multiply \frac{6}{7} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$-1.2-\frac{6\times 1}{7\times 4}$$

Do the multiplications in the fraction \frac{6\times 1}{7\times 4}.

$$-1.2-\frac{6}{28}$$

Reduce the fraction \frac{6}{28} to lowest terms by extracting and canceling out 2.

$$-1.2-\frac{3}{14}$$

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.

$$-\frac{6}{5}-\frac{3}{14}$$

Least common multiple of 5 and 14 is 70. Convert -\frac{6}{5} and \frac{3}{14} to fractions with denominator 70.

$$-\frac{84}{70}-\frac{15}{70}$$

Since -\frac{84}{70} and \frac{15}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-84-15}{70}$$

Subtract 15 from -84 to get -99.

$$-\frac{99}{70}$$

Factor

$$-\frac{99}{70} = -1\frac{29}{70} = -1.4142857142857144$$