Solve 3/3/frac{3{5}}+5/4+2=

$$\frac { \frac { 3 } { 3 } } { \frac { 3 } { 5 } } + \frac { 5 } { 4 } + 2 =$$

Evaluate

$$\frac{59}{12}\approx 4.916666667$$

Solution Steps

Divide 3 by 3 to get 1.

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

Divide 1 by \frac{3}{5} by multiplying 1 by the reciprocal of \frac{3}{5}.

$$1\times \frac{5}{3}+\frac{5}{4}+2$$

Multiply 1 and \frac{5}{3} to get \frac{5}{3}.

$$\frac{5}{3}+\frac{5}{4}+2$$

Least common multiple of 3 and 4 is 12. Convert \frac{5}{3} and \frac{5}{4} to fractions with denominator 12.

$$\frac{20}{12}+\frac{15}{12}+2$$

Since \frac{20}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{20+15}{12}+2$$

Add 20 and 15 to get 35.

$$\frac{35}{12}+2$$

Convert 2 to fraction \frac{24}{12}.

$$\frac{35}{12}+\frac{24}{12}$$

Since \frac{35}{12} and \frac{24}{12} have the same denominator, add them by adding their numerators.

$$\frac{35+24}{12}$$

Add 35 and 24 to get 59.

$$\frac{59}{12}$$

Factor

$$\frac{59}{2 ^ {2} \cdot 3} = 4\frac{11}{12} = 4.916666666666667$$