Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Number and Operations—Fractions
Understand fractions as numbers.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Number and Operations—Fractions
Understand fractions as numbers.
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Understand two fractions as equivalent if they have the same relative size compared to 1 whole.
Recognize and generate simple equivalent fractions. Explain why the fractions are equivalent.
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Understand that comparisons are valid only when the two fractions refer to the same whole. Record results of comparisons with the symbols >, =, or <, and justify conclusions.
Explain why a fraction 𝑎/𝑏 is equivalent to a fraction (𝑛 x 𝑎)/(𝑛 x 𝑏) 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 understand 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 (tenths) and 100 (hundredths).
Use decimal notation for fractions with denominators 10 (tenths) or 100 (hundredths), and locate these decimals on a number line.
Understand decimal notation for fractions, and compare decimal fractions.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Explain equivalence of fractions and compare fractions by reasoning about their size.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Explain equivalence of fractions through reasoning with visual fraction models. Compare fractions by reasoning about their size.