# Ratioi _B_New_Numbers

Subject
Resource Type Worksheet
Standards Alignment
Common Core State Standards

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## Resources

### Standards

Understand a fraction ?/? as a multiple of 1/?.
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Explain why a fraction ?/? is equivalent to a fraction (? × ?)/(? × ?) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
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.
Use decimal notation for fractions with denominators 10 or 100.
Understand a fraction ?/? with ? > 1 as a sum of fractions 1/?.
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model.
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Understand a multiple of ?/? as a multiple of 1/?, and use this understanding to multiply a fraction by a whole number.

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1 Review
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