Solve 23/3+82/9-41/6+35/12-9=

$$2 \frac { 3 } { 3 } + 8 \frac { 2 } { 9 } - 4 \frac { 1 } { 6 } + 3 \frac { 5 } { 12 } - 9 =$$

Evaluate

$$\frac{53}{36}\approx 1.472222222$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+3}{3}+\frac{8\times 9+2}{9}-\frac{4\times 6+1}{6}+\frac{3\times 12+5}{12}-9$$

Add 6 and 3 to get 9.

$$\frac{9}{3}+\frac{8\times 9+2}{9}-\frac{4\times 6+1}{6}+\frac{3\times 12+5}{12}-9$$

Divide 9 by 3 to get 3.

$$3+\frac{8\times 9+2}{9}-\frac{4\times 6+1}{6}+\frac{3\times 12+5}{12}-9$$

Multiply 8 and 9 to get 72.

$$3+\frac{72+2}{9}-\frac{4\times 6+1}{6}+\frac{3\times 12+5}{12}-9$$

Add 72 and 2 to get 74.

$$3+\frac{74}{9}-\frac{4\times 6+1}{6}+\frac{3\times 12+5}{12}-9$$

Convert 3 to fraction \frac{27}{9}.

$$\frac{27}{9}+\frac{74}{9}-\frac{4\times 6+1}{6}+\frac{3\times 12+5}{12}-9$$

Since \frac{27}{9} and \frac{74}{9} have the same denominator, add them by adding their numerators.

$$\frac{27+74}{9}-\frac{4\times 6+1}{6}+\frac{3\times 12+5}{12}-9$$

Add 27 and 74 to get 101.

$$\frac{101}{9}-\frac{4\times 6+1}{6}+\frac{3\times 12+5}{12}-9$$

Multiply 4 and 6 to get 24.

$$\frac{101}{9}-\frac{24+1}{6}+\frac{3\times 12+5}{12}-9$$

Add 24 and 1 to get 25.

$$\frac{101}{9}-\frac{25}{6}+\frac{3\times 12+5}{12}-9$$

Least common multiple of 9 and 6 is 18. Convert \frac{101}{9} and \frac{25}{6} to fractions with denominator 18.

$$\frac{202}{18}-\frac{75}{18}+\frac{3\times 12+5}{12}-9$$

Since \frac{202}{18} and \frac{75}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{202-75}{18}+\frac{3\times 12+5}{12}-9$$

Subtract 75 from 202 to get 127.

$$\frac{127}{18}+\frac{3\times 12+5}{12}-9$$

Multiply 3 and 12 to get 36.

$$\frac{127}{18}+\frac{36+5}{12}-9$$

Add 36 and 5 to get 41.

$$\frac{127}{18}+\frac{41}{12}-9$$

Least common multiple of 18 and 12 is 36. Convert \frac{127}{18} and \frac{41}{12} to fractions with denominator 36.

$$\frac{254}{36}+\frac{123}{36}-9$$

Since \frac{254}{36} and \frac{123}{36} have the same denominator, add them by adding their numerators.

$$\frac{254+123}{36}-9$$

Add 254 and 123 to get 377.

$$\frac{377}{36}-9$$

Convert 9 to fraction \frac{324}{36}.

$$\frac{377}{36}-\frac{324}{36}$$

Since \frac{377}{36} and \frac{324}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{377-324}{36}$$

Subtract 324 from 377 to get 53.

$$\frac{53}{36}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{17}{36} = 1.4722222222222223$$