Common denominators: 3/5 and 7/2 | Math | 4th grade | Khan Academy | Summary and Q&A

TL;DR

Learn how to convert fractions with denominators of 5 and 2 to a common denominator of 10.

Key Insights

• 🆘 Visual representation helps with understanding fractions and conversion.
• ⏫ Doubling the denominator also doubles the numerator when converting fractions.
• 👻 Multiplying or dividing the numerator and denominator by the same number allows for equivalent fractions.
• ❓ Converting fractions to a common denominator simplifies comparison and mathematical operations.
• ✖️ The process of converting fractions involves dividing or multiplying both the numerator and denominator.
• 👻 Fraction conversion allows for consistent denominators, facilitating addition, subtraction, and comparison.
• 🦻 Understanding the relationship between different fractions and their visual representations aids in conversion.

Transcript

• Rewrite each fraction with a denominator of 10. So we have two fractions, three fifths and seven halves and we wanna take their denominators of five and two and change them to be a common denominator of 10. Lets start with three fifths and we can look at this visually. Here we can use this rectangle to represent a whole, one whole. To show three ... Read More

Questions & Answers

Q: How can we convert fractions with denominators of 5 and 2 to tenths with a denominator of 10?

To convert, visually divide a whole into fifths or halves. Then, split each fifth or half into ten equal parts to represent tenths.

Q: What happens to the numerator when we change the denominator from 5 to 10?

When the denominator is doubled, as in the case of changing fifths to tenths, the numerator will also double because each shaded piece will split in two.

Q: Can you provide an example of converting 3/5 to tenths?

To convert 3/5 to tenths, divide the whole into fifths and shade three of those fifths. Then, split each fifth into tenths, resulting in six shaded tenths.

Q: How do we convert 7/2 to tenths?

To convert 7/2 to tenths, visually divide a whole into halves and shade seven of those halves. Next, split each half into five equal parts to represent tenths. The result is 35 shaded tenths.

Summary & Key Takeaways

• To convert fractions, such as 3/5 and 7/2, to a common denominator of 10, visualize each fraction and divide the whole into equal parts.

• Change the denominator by splitting each part in half or doubling the amount of pieces to achieve tenths.

• The numerator will also change accordingly when the denominator is multiplied or divided.