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Answer :
To solve the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex], we can follow this procedure:
1. Understand the Equation: We start with [tex]\(\frac{x}{19.3} = 38.6\)[/tex]. This equation implies that some value [tex]\(x\)[/tex] divided by 19.3 gives us 38.6.
2. Isolate [tex]\(x\)[/tex]: To find the value of [tex]\(x\)[/tex], we need to eliminate the fraction. We can do this by multiplying both sides of the equation by 19.3. This step will cancel out the division by 19.3 on the left side of the equation:
[tex]\[
\left(\frac{x}{19.3}\right) \times 19.3 = 38.6 \times 19.3
\][/tex]
3. Simplify the Equation: On the left side, multiplying by 19.3 cancels out the division, leaving us with:
[tex]\[
x = 38.6 \times 19.3
\][/tex]
4. Calculate the Solution: Now, compute the value:
[tex]\[
x = 744.98
\][/tex]
5. Conclusion: The solution to the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex] is [tex]\(x = 744.98\)[/tex].
Therefore, the correct procedure is to multiply both sides by 19.3, and the solution is [tex]\(x = 744.98\)[/tex].
1. Understand the Equation: We start with [tex]\(\frac{x}{19.3} = 38.6\)[/tex]. This equation implies that some value [tex]\(x\)[/tex] divided by 19.3 gives us 38.6.
2. Isolate [tex]\(x\)[/tex]: To find the value of [tex]\(x\)[/tex], we need to eliminate the fraction. We can do this by multiplying both sides of the equation by 19.3. This step will cancel out the division by 19.3 on the left side of the equation:
[tex]\[
\left(\frac{x}{19.3}\right) \times 19.3 = 38.6 \times 19.3
\][/tex]
3. Simplify the Equation: On the left side, multiplying by 19.3 cancels out the division, leaving us with:
[tex]\[
x = 38.6 \times 19.3
\][/tex]
4. Calculate the Solution: Now, compute the value:
[tex]\[
x = 744.98
\][/tex]
5. Conclusion: The solution to the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex] is [tex]\(x = 744.98\)[/tex].
Therefore, the correct procedure is to multiply both sides by 19.3, and the solution is [tex]\(x = 744.98\)[/tex].
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