Solve 3/5+172/3-167/5+2/5-1

$$\frac { 3 } { 5 } + 17 \frac { 2 } { 3 } - 16 \frac { 7 } { 5 } + \frac { 2 } { 5 } - 1$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Multiply 17 and 3 to get 51.

$$\frac{3}{5}+\frac{51+2}{3}-\frac{16\times 5+7}{5}+\frac{2}{5}-1$$

Add 51 and 2 to get 53.

$$\frac{3}{5}+\frac{53}{3}-\frac{16\times 5+7}{5}+\frac{2}{5}-1$$

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{53}{3} to fractions with denominator 15.

$$\frac{9}{15}+\frac{265}{15}-\frac{16\times 5+7}{5}+\frac{2}{5}-1$$

Since \frac{9}{15} and \frac{265}{15} have the same denominator, add them by adding their numerators.

$$\frac{9+265}{15}-\frac{16\times 5+7}{5}+\frac{2}{5}-1$$

Add 9 and 265 to get 274.

$$\frac{274}{15}-\frac{16\times 5+7}{5}+\frac{2}{5}-1$$

Multiply 16 and 5 to get 80.

$$\frac{274}{15}-\frac{80+7}{5}+\frac{2}{5}-1$$

Add 80 and 7 to get 87.

$$\frac{274}{15}-\frac{87}{5}+\frac{2}{5}-1$$

Least common multiple of 15 and 5 is 15. Convert \frac{274}{15} and \frac{87}{5} to fractions with denominator 15.

$$\frac{274}{15}-\frac{261}{15}+\frac{2}{5}-1$$

Since \frac{274}{15} and \frac{261}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{274-261}{15}+\frac{2}{5}-1$$

Subtract 261 from 274 to get 13.

$$\frac{13}{15}+\frac{2}{5}-1$$

Least common multiple of 15 and 5 is 15. Convert \frac{13}{15} and \frac{2}{5} to fractions with denominator 15.

$$\frac{13}{15}+\frac{6}{15}-1$$

Since \frac{13}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{13+6}{15}-1$$

Add 13 and 6 to get 19.

$$\frac{19}{15}-1$$

Convert 1 to fraction \frac{15}{15}.

$$\frac{19}{15}-\frac{15}{15}$$

Since \frac{19}{15} and \frac{15}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-15}{15}$$

Subtract 15 from 19 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$