Solve 49-8*-1/3+sqrt{4}-2+1/4-3/5

$$49 - 8 * - \frac { 1 } { 3 } + \sqrt { 4 } - 2 + \frac { 1 } { 4 } - \frac { 3 } { 5 }$$

Evaluate

$$\frac{3079}{60}\approx 51.316666667$$

Solution Steps

Express 8\left(-\frac{1}{3}\right) as a single fraction.

$$49-\frac{8\left(-1\right)}{3}+\sqrt{4}-2+\frac{1}{4}-\frac{3}{5}$$

Multiply 8 and -1 to get -8.

$$49-\frac{-8}{3}+\sqrt{4}-2+\frac{1}{4}-\frac{3}{5}$$

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

$$49-\left(-\frac{8}{3}\right)+\sqrt{4}-2+\frac{1}{4}-\frac{3}{5}$$

The opposite of -\frac{8}{3} is \frac{8}{3}.

$$49+\frac{8}{3}+\sqrt{4}-2+\frac{1}{4}-\frac{3}{5}$$

Convert 49 to fraction \frac{147}{3}.

$$\frac{147}{3}+\frac{8}{3}+\sqrt{4}-2+\frac{1}{4}-\frac{3}{5}$$

Since \frac{147}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

$$\frac{147+8}{3}+\sqrt{4}-2+\frac{1}{4}-\frac{3}{5}$$

Add 147 and 8 to get 155.

$$\frac{155}{3}+\sqrt{4}-2+\frac{1}{4}-\frac{3}{5}$$

Calculate the square root of 4 and get 2.

$$\frac{155}{3}+2-2+\frac{1}{4}-\frac{3}{5}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{155}{3}+\frac{6}{3}-2+\frac{1}{4}-\frac{3}{5}$$

Since \frac{155}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{155+6}{3}-2+\frac{1}{4}-\frac{3}{5}$$

Add 155 and 6 to get 161.

$$\frac{161}{3}-2+\frac{1}{4}-\frac{3}{5}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{161}{3}-\frac{6}{3}+\frac{1}{4}-\frac{3}{5}$$

Since \frac{161}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{161-6}{3}+\frac{1}{4}-\frac{3}{5}$$

Subtract 6 from 161 to get 155.

$$\frac{155}{3}+\frac{1}{4}-\frac{3}{5}$$

Least common multiple of 3 and 4 is 12. Convert \frac{155}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{620}{12}+\frac{3}{12}-\frac{3}{5}$$

Since \frac{620}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{620+3}{12}-\frac{3}{5}$$

Add 620 and 3 to get 623.

$$\frac{623}{12}-\frac{3}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{623}{12} and \frac{3}{5} to fractions with denominator 60.

$$\frac{3115}{60}-\frac{36}{60}$$

Since \frac{3115}{60} and \frac{36}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3115-36}{60}$$

Subtract 36 from 3115 to get 3079.

$$\frac{3079}{60}$$

Factor

$$\frac{3079}{2 ^ {2} \cdot 3 \cdot 5} = 51\frac{19}{60} = 51.31666666666667$$