Solve -3/7/frac{4{12}}=4/12=-1.286-1

$$\frac{ - \frac{ 3 }{ 7 } }{ \frac{ 4 }{ 12 } } = \frac{ 4 }{ 12 } = -1.286-1$$

Verify

Solution Steps

Divide -\frac{3}{7} by \frac{4}{12} by multiplying -\frac{3}{7} by the reciprocal of \frac{4}{12}.

$$\frac{-3\times 12}{7\times 4}=\frac{4}{12}\text{ and }\frac{4}{12}=-1.286-1$$

Cancel out 4 in both numerator and denominator.

$$\frac{-3\times 3}{7}=\frac{4}{12}\text{ and }\frac{4}{12}=-1.286-1$$

Multiply -3 and 3 to get -9.

$$\frac{-9}{7}=\frac{4}{12}\text{ and }\frac{4}{12}=-1.286-1$$

Fraction \frac{-9}{7} can be rewritten as -\frac{9}{7} by extracting the negative sign.

$$-\frac{9}{7}=\frac{4}{12}\text{ and }\frac{4}{12}=-1.286-1$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{9}{7}=\frac{1}{3}\text{ and }\frac{4}{12}=-1.286-1$$

Least common multiple of 7 and 3 is 21. Convert -\frac{9}{7} and \frac{1}{3} to fractions with denominator 21.

$$-\frac{27}{21}=\frac{7}{21}\text{ and }\frac{4}{12}=-1.286-1$$

Compare -\frac{27}{21} and \frac{7}{21}.

$$\text{false}\text{ and }\frac{4}{12}=-1.286-1$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\text{false}\text{ and }\frac{1}{3}=-1.286-1$$

Subtract 1 from -1.286 to get -2.286.

$$\text{false}\text{ and }\frac{1}{3}=-2.286$$

Convert decimal number -2.286 to fraction -\frac{2286}{1000}. Reduce the fraction -\frac{2286}{1000} to lowest terms by extracting and canceling out 2.

$$\text{false}\text{ and }\frac{1}{3}=-\frac{1143}{500}$$

Least common multiple of 3 and 500 is 1500. Convert \frac{1}{3} and -\frac{1143}{500} to fractions with denominator 1500.

$$\text{false}\text{ and }\frac{500}{1500}=-\frac{3429}{1500}$$

Compare \frac{500}{1500} and -\frac{3429}{1500}.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$