Answer :

We start with the equation

[tex]$$
\frac{14}{15} = \frac{x+9}{60}.
$$[/tex]

To eliminate the fraction on the right, multiply both sides of the equation by [tex]$60$[/tex]:

[tex]$$
60 \cdot \frac{14}{15} = x+9.
$$[/tex]

Simplify the left side. Notice that

[tex]$$
60 \div 15 = 4,
$$[/tex]

so

[tex]$$
60 \cdot \frac{14}{15} = 4 \cdot 14 = 56.
$$[/tex]

Now the equation becomes

[tex]$$
56 = x + 9.
$$[/tex]

To solve for [tex]$x$[/tex], subtract [tex]$9$[/tex] from both sides:

[tex]$$
x = 56 - 9.
$$[/tex]

Thus, we find

[tex]$$
x = 47.
$$[/tex]

So the solution to the equation is [tex]$x = 47$[/tex].

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Rewritten by : Barada