Solve (21/2+44/5)*1/2

$$( 2 \frac { 1 } { 2 } + 4 \frac { 4 } { 5 } ) \times \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{73}{20}=3.65$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\left(\frac{4+1}{2}+\frac{4\times 5+4}{5}\right)\times \frac{1}{2}$$

Add 4 and 1 to get 5.

$$\left(\frac{5}{2}+\frac{4\times 5+4}{5}\right)\times \frac{1}{2}$$

Multiply 4 and 5 to get 20.

$$\left(\frac{5}{2}+\frac{20+4}{5}\right)\times \frac{1}{2}$$

Add 20 and 4 to get 24.

$$\left(\frac{5}{2}+\frac{24}{5}\right)\times \frac{1}{2}$$

Least common multiple of 2 and 5 is 10. Convert \frac{5}{2} and \frac{24}{5} to fractions with denominator 10.

$$\left(\frac{25}{10}+\frac{48}{10}\right)\times \frac{1}{2}$$

Since \frac{25}{10} and \frac{48}{10} have the same denominator, add them by adding their numerators.

$$\frac{25+48}{10}\times \frac{1}{2}$$

Add 25 and 48 to get 73.

$$\frac{73}{10}\times \frac{1}{2}$$

Multiply \frac{73}{10} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{73\times 1}{10\times 2}$$

Do the multiplications in the fraction \frac{73\times 1}{10\times 2}.

$$\frac{73}{20}$$

Factor

$$\frac{73}{2 ^ {2} \cdot 5} = 3\frac{13}{20} = 3.65$$