Question
Convert the following fraction to a decimal. \[ \frac{19}{25} \]
Ask by Marsh Peterson. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The decimal equivalent of \(\frac{19}{25}\) is \(0.76\).
Solution
1. We start with the fraction:
\[
\frac{19}{25}
\]
2. Notice that multiplying both the numerator and the denominator by \(4\) gives a denominator of \(100\), which makes it easier to convert to a decimal:
\[
\frac{19 \times 4}{25 \times 4} = \frac{76}{100}
\]
3. Since \(\frac{76}{100}\) is equivalent to \(76\) hundredths, we can write it in decimal form as:
\[
0.76
\]
Thus, the decimal equivalent of \(\frac{19}{25}\) is \(0.76\).
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Simplify this solution Beyond the Answer
To convert the fraction \( \frac{19}{25} \) to a decimal, you simply divide the numerator (19) by the denominator (25). When you do the division, you get: \[ 19 \div 25 = 0.76 \] So, \( \frac{19}{25} \) as a decimal is 0.76. If you want to check your work, you can multiply 0.76 back by 25. You’ll find that \( 0.76 \times 25 = 19 \), confirming that your conversion was correct!
