Question

what is the sum of 2 2/5 + 1/15

Answer 1

$\frac{37}{15}$

Explanation

$2\frac{2}{5}+\frac{1}{15}$

Step 1

convert the mixed number into an improper fraction:

remember how

$a\frac{b}{c}=\frac{(ac)+b}{c}$

then

$2\frac{2}{5}=\frac{(2\cdot5+2)}{5}=\frac{12}{5}$

Step 2

now, add the fractions ( normally)

remember how:

$\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}$

then

$\begin{gathered} \frac{12}{5}+\frac{1}{15} \\ \frac{12}{5}+\frac{1}{15}=\frac{12\cdot15+5\cdot1}{5\cdot15} \\ \frac{12}{5}+\frac{1}{15}=\frac{185}{75} \\ \frac{12}{5}+\frac{1}{15}=\frac{37}{15} \end{gathered}$

therefore, the answer is

$\frac{37}{15}$

I hope this helps you