Solve -9/13*7-10/3=-1

$$\frac{ -9 }{ 13 } \times 7- \frac{ 10 }{ 3 } =-1$$

Verify

Solution Steps

Fraction \frac{-9}{13} can be rewritten as -\frac{9}{13} by extracting the negative sign.

$$-\frac{9}{13}\times 7-\frac{10}{3}=-1$$

Express -\frac{9}{13}\times 7 as a single fraction.

$$\frac{-9\times 7}{13}-\frac{10}{3}=-1$$

Multiply -9 and 7 to get -63.

$$\frac{-63}{13}-\frac{10}{3}=-1$$

Fraction \frac{-63}{13} can be rewritten as -\frac{63}{13} by extracting the negative sign.

$$-\frac{63}{13}-\frac{10}{3}=-1$$

Least common multiple of 13 and 3 is 39. Convert -\frac{63}{13} and \frac{10}{3} to fractions with denominator 39.

$$-\frac{189}{39}-\frac{130}{39}=-1$$

Since -\frac{189}{39} and \frac{130}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-189-130}{39}=-1$$

Subtract 130 from -189 to get -319.

$$-\frac{319}{39}=-1$$

Convert -1 to fraction -\frac{39}{39}.

$$-\frac{319}{39}=-\frac{39}{39}$$

Compare -\frac{319}{39} and -\frac{39}{39}.

$$\text{false}$$