Solve -15/128+-6/35+-9/14+-3/21=

$$\frac { - 15 } { 128 } + \frac { - 6 } { 35 } + \frac { - 9 } { 14 } + \frac { - 3 } { 21 } =$$

Evaluate

$$-\frac{4813}{4480}\approx -1.074330357$$

Solution Steps

Fraction \frac{-15}{128} can be rewritten as -\frac{15}{128} by extracting the negative sign.

$$-\frac{15}{128}+\frac{-6}{35}+\frac{-9}{14}+\frac{-3}{21}$$

Fraction \frac{-6}{35} can be rewritten as -\frac{6}{35} by extracting the negative sign.

$$-\frac{15}{128}-\frac{6}{35}+\frac{-9}{14}+\frac{-3}{21}$$

Least common multiple of 128 and 35 is 4480. Convert -\frac{15}{128} and \frac{6}{35} to fractions with denominator 4480.

$$-\frac{525}{4480}-\frac{768}{4480}+\frac{-9}{14}+\frac{-3}{21}$$

Since -\frac{525}{4480} and \frac{768}{4480} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-525-768}{4480}+\frac{-9}{14}+\frac{-3}{21}$$

Subtract 768 from -525 to get -1293.

$$-\frac{1293}{4480}+\frac{-9}{14}+\frac{-3}{21}$$

Fraction \frac{-9}{14} can be rewritten as -\frac{9}{14} by extracting the negative sign.

$$-\frac{1293}{4480}-\frac{9}{14}+\frac{-3}{21}$$

Least common multiple of 4480 and 14 is 4480. Convert -\frac{1293}{4480} and \frac{9}{14} to fractions with denominator 4480.

$$-\frac{1293}{4480}-\frac{2880}{4480}+\frac{-3}{21}$$

Since -\frac{1293}{4480} and \frac{2880}{4480} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1293-2880}{4480}+\frac{-3}{21}$$

Subtract 2880 from -1293 to get -4173.

$$-\frac{4173}{4480}+\frac{-3}{21}$$

Reduce the fraction \frac{-3}{21} to lowest terms by extracting and canceling out 3.

$$-\frac{4173}{4480}-\frac{1}{7}$$

Least common multiple of 4480 and 7 is 4480. Convert -\frac{4173}{4480} and \frac{1}{7} to fractions with denominator 4480.

$$-\frac{4173}{4480}-\frac{640}{4480}$$

Since -\frac{4173}{4480} and \frac{640}{4480} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4173-640}{4480}$$

Subtract 640 from -4173 to get -4813.

$$-\frac{4813}{4480}$$

Factor

$$-\frac{4813}{4480} = -1\frac{333}{4480} = -1.074330357142857$$