Answer :
Sure, let's write the sentence as an equation and then solve for [tex]\( f \)[/tex].
### Step-by-Step Solution:
1. Translate the Sentence to an Equation:
The sentence is "The product of 188 and [tex]\( f \)[/tex] is equal to 187".
In mathematical terms, "the product of 188 and [tex]\( f \)[/tex]" can be written as [tex]\( 188 \times f \)[/tex].
So, the sentence can be written as the equation:
[tex]\[
188f = 187
\][/tex]
2. Solve for [tex]\( f \)[/tex]:
To find [tex]\( f \)[/tex], we need to isolate [tex]\( f \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by 188:
[tex]\[
f = \frac{187}{188}
\][/tex]
3. Calculate the Value of [tex]\( f \)[/tex]:
We perform the division:
[tex]\[
\frac{187}{188} \approx 0.9946808510638298
\][/tex]
So, the value of [tex]\( f \)[/tex] is approximately [tex]\( 0.9947 \)[/tex] (rounded to four decimal places).
Therefore, the final answer is:
[tex]\[
f \approx 0.9946808510638298
\][/tex]
### Step-by-Step Solution:
1. Translate the Sentence to an Equation:
The sentence is "The product of 188 and [tex]\( f \)[/tex] is equal to 187".
In mathematical terms, "the product of 188 and [tex]\( f \)[/tex]" can be written as [tex]\( 188 \times f \)[/tex].
So, the sentence can be written as the equation:
[tex]\[
188f = 187
\][/tex]
2. Solve for [tex]\( f \)[/tex]:
To find [tex]\( f \)[/tex], we need to isolate [tex]\( f \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by 188:
[tex]\[
f = \frac{187}{188}
\][/tex]
3. Calculate the Value of [tex]\( f \)[/tex]:
We perform the division:
[tex]\[
\frac{187}{188} \approx 0.9946808510638298
\][/tex]
So, the value of [tex]\( f \)[/tex] is approximately [tex]\( 0.9947 \)[/tex] (rounded to four decimal places).
Therefore, the final answer is:
[tex]\[
f \approx 0.9946808510638298
\][/tex]