Solve 3/7+(-4)/9

$$\frac { 3 } { 7 } + \frac { ( - 4 ) } { 9 }$$

Evaluate

$$-\frac{1}{63}\approx -0.015873016$$

Solution Steps

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$\frac{3}{7}-\frac{4}{9}$$

Least common multiple of 7 and 9 is 63. Convert \frac{3}{7} and \frac{4}{9} to fractions with denominator 63.

$$\frac{27}{63}-\frac{28}{63}$$

Since \frac{27}{63} and \frac{28}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-28}{63}$$

Subtract 28 from 27 to get -1.

$$-\frac{1}{63}$$

Factor

$$-\frac{1}{63} = -0.015873015873015872$$