Fractions, Decimals and Percentages

Summary

This video provides a quick and simple guide for converting between fractions, decimals, and percentages. It covers the basic methods for each conversion: dividing the numerator by the denominator for fractions to decimals, multiplying decimals by 100 for percentages, and simplifying percentages into fractions. Through clear examples, the video demonstrates how to handle recurring decimals, percentages, and fractional values, ensuring viewers can easily convert between the three. Additionally, it introduces practical techniques and tips for accurate conversions, making it an excellent resource for revising these essential math skills.

Takeaways

• 😀 Fractions, decimals, and percentages are interconnected, and this video revises how to convert between them.
• 😀 To convert a fraction to a decimal, divide the numerator (top) by the denominator (bottom).
• 😀 Converting a decimal to a percentage involves multiplying by 100 and adding the percentage sign.
• 😀 A percentage can be converted to a fraction by writing the percentage number over 100 and simplifying.
• 😀 The process of converting 3/4 to a decimal results in 0.75, which can be verified using long division.
• 😀 Recurring decimals, like 8/15, result in a repeating decimal (0.53333...), which is shown with a dot above the repeating digit.
• 😀 To convert a decimal like 0.35 into a percentage, multiply by 100 to get 35%.
• 😀 A percentage like 25% can be written as 25/100 and simplified to 1/4.
• 😀 To convert a percentage with a fraction (like 7.5%), first write it as 7.5/100, then multiply both the numerator and denominator by 2 to simplify it to 15/200, which reduces to 3/40.
• 😀 For long decimals or fractions with repeating parts, like 0.666..., a mathematical technique can help convert it into a fraction, resulting in 2/3 for 0.6 recurring.
• 😀 The video encourages practicing conversions using online exercises and offers rewards for progress, like trophies.

Q & A

What is the easiest way to convert a fraction to a decimal?

The easiest way to convert a fraction to a decimal is to divide the numerator (top number) by the denominator (bottom number).

How can you convert a decimal into a percentage?

To convert a decimal into a percentage, multiply the decimal by 100 and add the percentage sign. This makes the value 100 times bigger, compensating for the percentage sign.

What is the method for converting a percentage to a fraction?

To convert a percentage to a fraction, write the percentage number over 100, and then simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.

What is the decimal equivalent of three quarters (3/4)?

The decimal equivalent of three quarters (3/4) is 0.75.

How do you convert 8/15 into a decimal?

To convert 8/15 into a decimal, divide 8 by 15. This gives 0.5333, which repeats, so it's 0.53 with a repeating 3, often written as 0.53 with a dot over the 3.

If you multiply a decimal by 100, what are you effectively doing?

When you multiply a decimal by 100, you're making the value 100 times larger, and then you add the percentage sign to indicate that the value is now out of 100.

How do you convert 12.5% to a fraction?

To convert 12.5% to a fraction, first write it as 12.5 over 100. Then, multiply the numerator and denominator by 2 to get 25/200, which simplifies to 1/8.

What does the recurring decimal 0.6666... represent as a fraction?

The recurring decimal 0.6666... represents the fraction 2/3. This is found by using a method where you set x = 0.6666... and solve for x.

What is the simplest way to convert a percentage into a fraction?

The simplest way to convert a percentage into a fraction is to write the percentage number over 100 and then simplify it if possible.

How do you convert a fraction like 2/7 into a decimal?

To convert 2/7 into a decimal, divide 2 by 7. The result is a repeating decimal, 0.2857..., which continues indefinitely, so we round it to 0.286 for practical use.