Solve ((2/5)(2/3))+(1/2div2)

$$(( \frac{ 2 }{ 5 } )( \frac{ 2 }{ 3 } ))+( \frac{ 1 }{ 2 } \div 2)$$

Evaluate

$$\frac{31}{60}\approx 0.516666667$$

Solution Steps

Multiply \frac{2}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 2}{5\times 3}.

$$\frac{4}{15}+\frac{\frac{1}{2}}{2}$$

Express \frac{\frac{1}{2}}{2} as a single fraction.

$$\frac{4}{15}+\frac{1}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{15}+\frac{1}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{4}{15} and \frac{1}{4} to fractions with denominator 60.

$$\frac{16}{60}+\frac{15}{60}$$

Since \frac{16}{60} and \frac{15}{60} have the same denominator, add them by adding their numerators.

$$\frac{16+15}{60}$$

Add 16 and 15 to get 31.

$$\frac{31}{60}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3 \cdot 5} = 0.5166666666666667$$