Solve 2/3+1/2/frac{26{25}+36}

$$\frac { \frac { 2 } { 3 } + \frac { 1 } { 2 } } { \frac { 26 } { 25 } + 36 }$$

Evaluate

$$\frac{175}{5556}\approx 0.03149748$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{\frac{4}{6}+\frac{3}{6}}{\frac{26}{25}+36}$$

Since \frac{4}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4+3}{6}}{\frac{26}{25}+36}$$

Add 4 and 3 to get 7.

$$\frac{\frac{7}{6}}{\frac{26}{25}+36}$$

Convert 36 to fraction \frac{900}{25}.

$$\frac{\frac{7}{6}}{\frac{26}{25}+\frac{900}{25}}$$

Since \frac{26}{25} and \frac{900}{25} have the same denominator, add them by adding their numerators.

$$\frac{\frac{7}{6}}{\frac{26+900}{25}}$$

Add 26 and 900 to get 926.

$$\frac{\frac{7}{6}}{\frac{926}{25}}$$

Divide \frac{7}{6} by \frac{926}{25} by multiplying \frac{7}{6} by the reciprocal of \frac{926}{25}.

$$\frac{7}{6}\times \frac{25}{926}$$

Multiply \frac{7}{6} times \frac{25}{926} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 25}{6\times 926}$$

Do the multiplications in the fraction \frac{7\times 25}{6\times 926}.

$$\frac{175}{5556}$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2 ^ {2} \cdot 3 \cdot 463} = 0.031497480201583876$$