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

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August 18, 2016
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Common denominators: 3/5 and 7/2 | Math | 4th grade | Khan Academy

TL;DR

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

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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.

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