Question

How do you solve $\dfrac{14}{15}=\dfrac{x}{75}$ ?
 (a) Using the long division
(b) Using trigonometric identities
(c) Using linear formulas
(d) None of these

Answer 1

Hint: In this problem, we are given an equation where we have to find the value of x from the given parameters. So, to start with, we are to try to eliminate the denominator term from the left hand side by multiplying the value of the denominator on both sides. Thus, we get a term with x in the numerator with a value in the denominator. Multiplying the same value on both sides, we will get our result.

Complete step-by-step answer:
According to the question, we are to solve $\dfrac{14}{15}=\dfrac{x}{75}$.
Solving the equation means we have to get the value of x from the given equation and simplify it.
So, to start with, we are given, $\dfrac{14}{15}=\dfrac{x}{75}$.
Now, we will start by multiplying 15 on both sides so that we can eliminate the denominator from the left hand side.
So, multiplying that, we have, $\dfrac{14}{15}\times 15=\dfrac{x}{75}\times 15$
Now, after more simplification, $14=\dfrac{x}{5}$.
Again, multiplying both sides with 5, we are getting, $14\times 5=\dfrac{x}{5}\times 5$
So, we have now, cancelling out 5 on the right hand side, x = 70.
Thus, we have our solution now as x = 70.

So, the correct answer is “Option C”.

Note: This is always to be considered a easy problem to get the solution. But still we have to be cautious about the problem and the calculations given out there. Easier problems can get easily wrong with silly mistakes and give us wrong results. So, taking care of that is quite important.