Equivalent fractions are created by multiplying the numerator and denominator by the same number, is the same as multiplying the fraction by 1. For example, × 4) = 4 so is equivalent to . The fraction now includes a different number of × 4) 8 parts and the parts are different sizes, but the value remains the same. (NF.1) Compare: Determine the value or size of two fractions to see which fraction is larger. Fractions can be compared by looking at the number of equal parts and the size of the equal parts of the same size whole. Greater than: If a fraction is larger in size and value, use the symbol >. Less than: If a fraction is smaller in size and value, use the symbol <. Equal to: If the fractions are the same size (equivalent fractions), use the symbol =. (NF.2) Fractions with different numerators and denominators can be compared in two ways. Using the same strategies for creating equivalent fractions, create a common denominator or common numerator between the two fractions. Or, both fractions can be compared to a benchmark fraction such as . (NF.2) Important Tips When comparing fractions, use both the numerator and the denominator to find the of the fraction. The numerator tells the number of parts out of the whole, and the denominator tells the size of each part. Fractions in a comparison must represent parts of the same whole. When using models to compare fractions, use models that are the same size and shape. Sample 8–10 Item 8 Selected-Response Look at the model . Which fraction is equivalent to the shaded part of this model? A . B . . .
Equivalent fractions are created by multiplying the numerator and denominator by the same number, is the same as multiplying the fraction by 1. For example, × 4) = 4 so is equivalent to . The fraction now includes a different number of × 4) 8 parts and the parts are different sizes, but the value remains the same. (NF.1) Compare: Determine the value or size of two fractions to see which fraction is larger. Fractions can be compared by looking at the number of equal parts and the size of the equal parts of the same size whole. Greater than: If a fraction is larger in size and value, use the symbol >. Less than: If a fraction is smaller in size and value, use the symbol <. Equal to: If the fractions are the same size (equivalent fractions), use the symbol =. (NF.2) Fractions with different numerators and denominators can be compared in two ways. Using the same strategies for creating equivalent fractions, create a common denominator or common numerator between the two fractions. Or, both fractions can be compared to a benchmark fraction such as . (NF.2) Important Tips When comparing fractions, use both the numerator and the denominator to find the of the fraction. The numerator tells the number of parts out of the whole, and the denominator tells the size of each part. Fractions in a comparison must represent parts of the same whole. When using models to compare fractions, use models that are the same size and shape. Sample 8–10 Item 8 Selected-Response Look at the model . Which fraction is equivalent to the shaded part of this model? A . B . . .
Milestones_StudyGuide_GR04_3-20-2017.docx