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The first step in converting a mixed number to a percent involves transforming it into an improper fraction. A mixed number consists of a whole number and a fraction combined, like \( 5 \frac{1}{4} \).
To change this to an improper fraction, you multiply the whole number by the denominator and add the numerator. Then, place this sum over the original denominator.
For example, in \( 5 \frac{1}{4} \), multiply 5 (the whole number) by 4 (the denominator): 5 \( \times \) 4 = 20.
Then, add the numerator: 20 + 1 = 21. Now, place 21 over the denominator 4, resulting in the improper fraction \( \frac{21}{4} \).
This step simplifies the number, making the next conversion easier. Understanding improper fractions is essential for many math problems, from basic arithmetic to advanced algebra.

Once you have your improper fraction, converting it to a decimal is straightforward. You simply need to divide the numerator by the denominator.
For \( \frac{21}{4} \), divide 21 by 4.
This calculation gives you 5.25, which is the decimal equivalent of the fraction.
Decimals are another way of representing fractions, and they can make certain calculations, like multiplication or percent conversion, simpler.
Understanding decimal conversion is crucial because many everyday situations, such as financial transactions or measurements, often use decimal notation rather than fractions.

The final step in the conversion process is turning your decimal into a percent. Percentages are essentially fractions out of 100, so this step is about finding out how many out of 100 your decimal represents.
To convert a decimal to a percent, you multiply the decimal by 100. For example, take the decimal 5.25 and multiply by 100: \( 5.25 \times 100 = 525 \). So, 5.25 in decimal form is the same as 525%.
Percentages are versatile and commonly used in various fields such as statistics, finance, and everyday comparisons, making it a valuable skill to master.
By understanding percent calculation, you can easily understand and communicate proportions and changes in quantities.