Solve 8/9+6/7*2/3+23/7

$$\frac { 8 } { 9 } + \frac { 6 } { 7 } \times \frac { 2 } { 3 } + 2 \frac { 3 } { 7 }$$

Evaluate

$$\frac{35}{9}\approx 3.888888889$$

Solution Steps

Multiply \frac{6}{7} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{9}+\frac{6\times 2}{7\times 3}+\frac{2\times 7+3}{7}$$

Do the multiplications in the fraction \frac{6\times 2}{7\times 3}.

$$\frac{8}{9}+\frac{12}{21}+\frac{2\times 7+3}{7}$$

Reduce the fraction \frac{12}{21} to lowest terms by extracting and canceling out 3.

$$\frac{8}{9}+\frac{4}{7}+\frac{2\times 7+3}{7}$$

Least common multiple of 9 and 7 is 63. Convert \frac{8}{9} and \frac{4}{7} to fractions with denominator 63.

$$\frac{56}{63}+\frac{36}{63}+\frac{2\times 7+3}{7}$$

Since \frac{56}{63} and \frac{36}{63} have the same denominator, add them by adding their numerators.

$$\frac{56+36}{63}+\frac{2\times 7+3}{7}$$

Add 56 and 36 to get 92.

$$\frac{92}{63}+\frac{2\times 7+3}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{92}{63}+\frac{14+3}{7}$$

Add 14 and 3 to get 17.

$$\frac{92}{63}+\frac{17}{7}$$

Least common multiple of 63 and 7 is 63. Convert \frac{92}{63} and \frac{17}{7} to fractions with denominator 63.

$$\frac{92}{63}+\frac{153}{63}$$

Since \frac{92}{63} and \frac{153}{63} have the same denominator, add them by adding their numerators.

$$\frac{92+153}{63}$$

Add 92 and 153 to get 245.

$$\frac{245}{63}$$

Reduce the fraction \frac{245}{63} to lowest terms by extracting and canceling out 7.

$$\frac{35}{9}$$

Factor

$$\frac{5 \cdot 7}{3 ^ {2}} = 3\frac{8}{9} = 3.888888888888889$$