Solve -8/7-1/5-3/4(293/140)

$$- \frac { 8 } { 7 } - \frac { 1 } { 5 } - \frac { 3 } { 4 } ( \frac { 293 } { 140 } )$$

Evaluate

$$-\frac{233}{80}=-2.9125$$

Solution Steps

Least common multiple of 7 and 5 is 35. Convert -\frac{8}{7} and \frac{1}{5} to fractions with denominator 35.

$$-\frac{40}{35}-\frac{7}{35}-\frac{3}{4}\times \frac{293}{140}$$

Since -\frac{40}{35} and \frac{7}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-40-7}{35}-\frac{3}{4}\times \frac{293}{140}$$

Subtract 7 from -40 to get -47.

$$-\frac{47}{35}-\frac{3}{4}\times \frac{293}{140}$$

Multiply \frac{3}{4} times \frac{293}{140} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{47}{35}-\frac{3\times 293}{4\times 140}$$

Do the multiplications in the fraction \frac{3\times 293}{4\times 140}.

$$-\frac{47}{35}-\frac{879}{560}$$

Least common multiple of 35 and 560 is 560. Convert -\frac{47}{35} and \frac{879}{560} to fractions with denominator 560.

$$-\frac{752}{560}-\frac{879}{560}$$

Since -\frac{752}{560} and \frac{879}{560} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-752-879}{560}$$

Subtract 879 from -752 to get -1631.

$$\frac{-1631}{560}$$

Reduce the fraction \frac{-1631}{560} to lowest terms by extracting and canceling out 7.

$$-\frac{233}{80}$$

Factor

$$-\frac{233}{80} = -2\frac{73}{80} = -2.9125$$