Solve (-3/7)-23/5

$$( \frac { - 3 } { 7 } ) - 2 \frac { 3 } { 5 }$$

Evaluate

$$-\frac{106}{35}\approx -3.028571429$$

Solution Steps

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$-\frac{3}{7}-\frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$-\frac{3}{7}-\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$-\frac{3}{7}-\frac{13}{5}$$

Least common multiple of 7 and 5 is 35. Convert -\frac{3}{7} and \frac{13}{5} to fractions with denominator 35.

$$-\frac{15}{35}-\frac{91}{35}$$

Since -\frac{15}{35} and \frac{91}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-91}{35}$$

Subtract 91 from -15 to get -106.

$$-\frac{106}{35}$$

Factor

$$-\frac{106}{35} = -3\frac{1}{35} = -3.0285714285714285$$