Add Fractions with Denominators 10 and 100 (Grade 4)

Videos, examples, solutions, and lessons to help Grade 4 students learn how to express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.

For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

Common Core: 4.NF.5

Suggested Learning Targets

• I can write a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100.
• I can add two fractions with denominators 10 and 100.

4.NF.5 - Writing tenths as hundredths
Tenth: One part of something that is split into ten pieces.
Hundredth: One part of something that is split into one hundred pieces.

To change tenths to hundredths
Either
Multiply the fraction by 10/10
Or
Add a zero to the numerator and denominator

Examples:
Write 3/10 in hundredths.
Write 7/10 in hundredths
Write an addition statement that is equivalent to 3/10 + 15/100 in which both fractions are written in hundredths.

• Show Step-by-step Solutions

[4.NF.5-1.0] Equivalent Denominators - Common Core Standard - Practice Problem
Express a fraction with denominator 10 as an equivalent fraction with denominator 100
Examples:
6/10
4/10
3/10
9/10

• Show Step-by-step Solutions

[4.NF.5-2.0] Equivalent Denominators - Common Core Standard - Practice Problem
Use this technique to add two fractions with respective denominators 10 and 100
Examples:
4/10 + 57/100
3/10 + 16/100
9/10 + 8/100
64/100 + 2/10

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[4.NF.5-2.0] Equivalent Denominators - Common Core Standard - Word Problem
Example:
Kaitlyn and Hailey are splitting a pitcher of juice. If Kaitlyn drinks 5/10 of the pitcher and Hailey drinks 3/100 of the pitcher, what fraction of the pitcher will be left over?

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4.NF.5
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.

• Show Step-by-step Solutions

Adding Fractions
Examples:
5/10 + 4/100

• Show Step-by-step Solutions

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