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How do you solve $\dfrac{5}{a}=\dfrac{30}{54}$ ?

seo-qna
Last updated date: 22nd Feb 2024
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IVSAT 2024
Answer
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Hint: In this question we need to simplify the given expression $\dfrac{5}{a}=\dfrac{30}{54}$ . For answering and finding the value of $a$ for that we will perform the transformations and simplify this by performing basic arithmetic simplifications and reduce it and get the value.

Complete step-by-step solution:
Now considering from the question we need to find the value of $a$ in the given expression $\dfrac{5}{a}=\dfrac{30}{54}$ .
For that we will find the value of $a$ . For that we will perform the transformations and simplify this by performing basic arithmetic simplifications and reduce it and get the value.
We will shift the variable $a$ from left hand side to right hand side after doing that we will have $\Rightarrow 5=\dfrac{30}{54}a$ .
Now we will shift the number $54$ from right hand side to left hand side after doing that we will have $\Rightarrow 5\times 54=30a$ .
Now we will shift the number $30$ from right hand side to left hand side after doing that we will have $\Rightarrow \dfrac{5\times 54}{30}=a$ .
Now we will further simplify the expression by performing simple basic arithmetic calculations like multiplication and division.
After doing that we will have $\Rightarrow \dfrac{54}{6}=a$ .
For further simplification we will perform the division we will have $\Rightarrow a=9$ .
Therefore we can conclude that the value of $a$ in the given expression $\dfrac{5}{a}=\dfrac{30}{54}$ is $9$.

Note: Here in this question we should be sure with the calculations and concepts during the process of solving the question. Similarly we can solve any expression. For example there is an expression like $\dfrac{3}{p}=\dfrac{15}{20}$ after solving this expression we will have $\Rightarrow 3=\dfrac{15}{20}p\Rightarrow \dfrac{3\times 20}{15}=p\Rightarrow p=4$ .