Question

can someone tell me how to do it, i have more problems like this​

Answer 1

Answer:

$\large\boxed{\dfrac{7n}{30}=\dfrac{7}{30}n}$

Step-by-step explanation:

$\dfrac{2n}{5}+\left(-\dfrac{n}{6}\right)=\dfrac{2n}{5}-\dfrac{n}{6}$

To subtract both fractions we need a common denominator.

$LCD=(5)(6)=30$

$\dfrac{2n}{5}=\dfrac{2n\cdot6}{5\cdot6}=\dfrac{12n}{30}\\\\\dfrac{n}{6}=\dfrac{n\cdot5}{6\cdot5}=\dfrac{5n}{30}$

Therfore

$\dfrac{2n}{5}-\dfrac{n}{6}=\dfrac{12n}{30}-\dfrac{5n}{30}=\dfrac{12n-5n}{30}=\dfrac{7n}{30}=\dfrac{7}{30}n$