Solve -1/3*0.25+1/6quad0.5*1/3-0.25*1/6

$$- \frac { 1 } { 3 } \times 0.25 + \frac { 1 } { 6 } \quad 0.5 \times \frac { 1 } { 3 } - 0.25 \times \frac { 1 } { 6 }$$

Evaluate

$$-\frac{7}{72}\approx -0.097222222$$

Solution Steps

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.

$$-\frac{1}{3}\times \frac{1}{4}+\frac{1}{6}\times 0.5\times \frac{1}{3}-0.25\times \frac{1}{6}$$

Multiply -\frac{1}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-1}{3\times 4}+\frac{1}{6}\times 0.5\times \frac{1}{3}-0.25\times \frac{1}{6}$$

Do the multiplications in the fraction \frac{-1}{3\times 4}.

$$\frac{-1}{12}+\frac{1}{6}\times 0.5\times \frac{1}{3}-0.25\times \frac{1}{6}$$

Fraction \frac{-1}{12} can be rewritten as -\frac{1}{12} by extracting the negative sign.

$$-\frac{1}{12}+\frac{1}{6}\times 0.5\times \frac{1}{3}-0.25\times \frac{1}{6}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{12}+\frac{1}{6}\times \frac{1}{2}\times \frac{1}{3}-0.25\times \frac{1}{6}$$

Multiply \frac{1}{6} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{12}+\frac{1\times 1}{6\times 2}\times \frac{1}{3}-0.25\times \frac{1}{6}$$

Do the multiplications in the fraction \frac{1\times 1}{6\times 2}.

$$-\frac{1}{12}+\frac{1}{12}\times \frac{1}{3}-0.25\times \frac{1}{6}$$

Multiply \frac{1}{12} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{12}+\frac{1\times 1}{12\times 3}-0.25\times \frac{1}{6}$$

Do the multiplications in the fraction \frac{1\times 1}{12\times 3}.

$$-\frac{1}{12}+\frac{1}{36}-0.25\times \frac{1}{6}$$

Least common multiple of 12 and 36 is 36. Convert -\frac{1}{12} and \frac{1}{36} to fractions with denominator 36.

$$-\frac{3}{36}+\frac{1}{36}-0.25\times \frac{1}{6}$$

Since -\frac{3}{36} and \frac{1}{36} have the same denominator, add them by adding their numerators.

$$\frac{-3+1}{36}-0.25\times \frac{1}{6}$$

Add -3 and 1 to get -2.

$$\frac{-2}{36}-0.25\times \frac{1}{6}$$

Reduce the fraction \frac{-2}{36} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{18}-0.25\times \frac{1}{6}$$

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.

$$-\frac{1}{18}-\frac{1}{4}\times \frac{1}{6}$$

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

$$-\frac{1}{18}-\frac{1\times 1}{4\times 6}$$

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

$$-\frac{1}{18}-\frac{1}{24}$$

Least common multiple of 18 and 24 is 72. Convert -\frac{1}{18} and \frac{1}{24} to fractions with denominator 72.

$$-\frac{4}{72}-\frac{3}{72}$$

Since -\frac{4}{72} and \frac{3}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-3}{72}$$

Subtract 3 from -4 to get -7.

$$-\frac{7}{72}$$

Factor

$$-\frac{7}{72} = -0.09722222222222222$$