# Percent to Fraction Conversion Shortcut! | Summary and Q&A

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July 21, 2017
by
The Organic Chemistry Tutor
Percent to Fraction Conversion Shortcut!

## TL;DR

Learn how to convert percentages into fractions by following a simple method, including reducing fractions and converting improper fractions into mixed numbers.

## Key Insights

• 🗂️ Converting percentages into fractions involves dividing the percentage by 100.
• 🧑‍🏭 Simplifying fractions requires canceling out common factors between the numerator and denominator.
• #️⃣ Percentages over 100 can be converted into improper fractions or mixed numbers.
• 🪘 Long division can be used to convert improper fractions into mixed numbers.
• ✊ Decimal percentages can also be converted into fractions by multiplying the numerator and denominator by the appropriate power of 10.

## Transcript

in this lesson we're going to talk about how to convert a percent into a fraction so let's start with 38 how can we convert this into a fraction well you need to know that 38 percent is equivalent to thirty eight divided by a hundred percentages are based out of a hundred now once you have this fraction all you need to do is reduce it both numbers ... Read More

### Q: How do you convert a percentage into a fraction?

To convert a percentage into a fraction, divide the percentage by 100. Simplify the resulting fraction by canceling out common factors.

### Q: How do you simplify a fraction?

To simplify a fraction, find common factors between the numerator and denominator and cancel them out. Continue simplifying until no more factors can be canceled.

### Q: Can you convert a percentage over 100 into a fraction?

Yes, percentages over 100 can be converted into fractions. Simplify the fraction by canceling out common factors between the numerator and denominator.

### Q: How do you convert an improper fraction into a mixed number?

To convert an improper fraction into a mixed number, divide the numerator by the denominator. The whole number part is the quotient, and the remainder becomes the numerator of the mixed number with the same denominator.

## Summary & Key Takeaways

• Percentages can be converted into fractions by dividing the percentage by 100 and simplifying the resulting fraction.

• To simplify a fraction, find common factors and cancel them out.

• Percentages over 100 can be converted into improper fractions or mixed numbers.