Solve 3*2/7+-5/7*1/-3

$$3 \cdot \frac { 2 } { 7 } + \frac { - 5 } { 7 } \cdot \frac { 1 } { - 3 }$$

Evaluate

$$\frac{23}{21}\approx 1.095238095$$

Solution Steps

Express 3\times \frac{2}{7} as a single fraction.

$$\frac{3\times 2}{7}+\frac{-5}{7}\times \frac{1}{-3}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{7}+\frac{-5}{7}\times \frac{1}{-3}$$

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$\frac{6}{7}-\frac{5}{7}\times \frac{1}{-3}$$

Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{6}{7}-\frac{5}{7}\left(-\frac{1}{3}\right)$$

Multiply -\frac{5}{7} times -\frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{7}+\frac{-5\left(-1\right)}{7\times 3}$$

Do the multiplications in the fraction \frac{-5\left(-1\right)}{7\times 3}.

$$\frac{6}{7}+\frac{5}{21}$$

Least common multiple of 7 and 21 is 21. Convert \frac{6}{7} and \frac{5}{21} to fractions with denominator 21.

$$\frac{18}{21}+\frac{5}{21}$$

Since \frac{18}{21} and \frac{5}{21} have the same denominator, add them by adding their numerators.

$$\frac{18+5}{21}$$

Add 18 and 5 to get 23.

$$\frac{23}{21}$$

Factor

$$\frac{23}{3 \cdot 7} = 1\frac{2}{21} = 1.0952380952380953$$