Questions: 103 equals 21 divided by q

103 equals 21 divided by q
Transcript text: 103 equals 21 divided by $q$
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Solution

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Solution Steps

To write the sentence "103 equals 21 divided by \( q \)" as an equation, we need to translate the words into mathematical symbols. The word "equals" translates to the equal sign "=", and "divided by" translates to the division operator "/". Therefore, the equation can be written as \( 103 = \frac{21}{q} \).

Step 1: Write the Equation

We start with the verbal statement "103 equals 21 divided by \( q \)". This can be translated into the mathematical equation: \[ 103 = \frac{21}{q} \]

Step 2: Rearrange the Equation

To isolate \( q \), we can rearrange the equation. Multiplying both sides by \( q \) gives: \[ 103q = 21 \]

Step 3: Solve for \( q \)

Next, we divide both sides by 103 to solve for \( q \): \[ q = \frac{21}{103} \]

Final Answer

Thus, the solution for \( q \) is: \[ \boxed{q = \frac{21}{103}} \]

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