Question

2p/3 - p/5 = 11 2/3 Solve the equation

Answer 1

please see the attachment .your answer is in it.

Answer 2

p = 25  is the value of $\bold{\frac{2 p}{3}-\frac{p}{5}=11 \frac{2}{3}}$

Given:

$\frac{2 p}{3}-\frac{p}{5}=11 \frac{2}{3}$

To find:

Value of p = ?

Solution:

To solve this given operation, we have to observe what are all the symbols given,

In the left side Take LCM  

LCM of 3 and 5 is 15  

Changing the fractions in to like fractions in the left side

$\frac{10 p-3 p}{15}=11 \frac{2}{3}$

In the right side the given term is the mixed fraction.

Change the mixed fraction into improper fraction.

$\begin{array}{l}{\frac{10 p-3 p}{15}=\frac{35}{3}} \\ {\frac{7 p}{15}=\frac{35}{3}}\end{array}$

After changing the mixed fraction in to improper fraction.

Simplify the terms to get the value of p.

$\begin{array}{l}{\frac{7 p}{5}=35} \\ {7 p=35 \times 5} \\ {7 p=175}\end{array}$

$\begin{array}{l}{p=\frac{175}{7}} \\ {p=25}\end{array}$

The value of  p = 25.