Solve 3+37/4/2-frac{1{3}}

$$\frac { 3 + 3 \frac { 7 } { 4 } } { 2 - \frac { 1 } { 3 } }$$

Evaluate

$$\frac{93}{20}=4.65$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{3+\frac{12+7}{4}}{2-\frac{1}{3}}$$

Add 12 and 7 to get 19.

$$\frac{3+\frac{19}{4}}{2-\frac{1}{3}}$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{\frac{12}{4}+\frac{19}{4}}{2-\frac{1}{3}}$$

Since \frac{12}{4} and \frac{19}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{12+19}{4}}{2-\frac{1}{3}}$$

Add 12 and 19 to get 31.

$$\frac{\frac{31}{4}}{2-\frac{1}{3}}$$

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

$$\frac{\frac{31}{4}}{\frac{6}{3}-\frac{1}{3}}$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{31}{4}}{\frac{6-1}{3}}$$

Subtract 1 from 6 to get 5.

$$\frac{\frac{31}{4}}{\frac{5}{3}}$$

Divide \frac{31}{4} by \frac{5}{3} by multiplying \frac{31}{4} by the reciprocal of \frac{5}{3}.

$$\frac{31}{4}\times \frac{3}{5}$$

Multiply \frac{31}{4} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 3}{4\times 5}$$

Do the multiplications in the fraction \frac{31\times 3}{4\times 5}.

$$\frac{93}{20}$$

Factor

$$\frac{3 \cdot 31}{2 ^ {2} \cdot 5} = 4\frac{13}{20} = 4.65$$