Students might need to review comparing fractions before ratios They should be reminded that there are different ways to compare fractions (e g using common numerators or common denominators or decimals) Students should be encouraged to draw bar models, and to write parts of a ratio as a fraction of the whole, to support their comparisons
Lesson 11: Ratios of Fractions and Their Unit Rates 105 This work is derived from Eureka Math ™ and licensed by Great Minds ©2015 Great Minds eureka-math This file derived from G7-M1-TE-1 3 0-07 2015 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3 0 Unported License
ratios in simplest form of two fractions, including ratios of areas and other quantities measured in like units Author Intent Students use what they learned from the Key Concept to determine whether ratios written as fractions within fractions are equivalent to ratios with whole-number terms
FRACTIONS, RATIOS AND PROPORTIONAL REASONING The part-whole sub-construct of fractions is defined as a situation in which a continuous quantity or a set of discrete
Ratios involving fractions To express two fractions as a ratio in simplest form, follow the steps below: 1 convert mixed number(s) into improper fraction(s) 2 change both fractions to the equivalent fractions with the same denominator 3 omit denominators and write numerators as a ratio
with the same units Ratios can be fractions, decimals, percents, or stated in words Ratios can also be written with a colon between the two numbers being compared For example, if a team wins 3 out of 5 games played, the ratio of wins to total games can be written as _ 3, 3/5, 0 6, 60 , 3 to 5 5, or 3:5 (read “three to five”)
L9: Ratios Involving Complex Fractions 79 Part 1: Introduction Lesson 9 Find Out More The number of miles Jana bikes in one hour is a unit rate A unit rate compares two quantities where one of the quantities is 1 A unit rate tells you how many units of the first quantity correspond to one unit of the second quantity
Si PS = QR, on identifie les deux fractions rationnelles P Q L'écriture précédente se nomme la décomposition en éléments simples de la fraction ration - nelle
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porte quelle fraction rationnelle de dénominateur aisément factorisable – D' effectuer la décomposition en éléments simples, dans IR, des fractions ration-
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Par des fractions égales traduisant la situation de proportionnalité Cette dernière que deux nombres et sont dans le ratio 2 : 3 (notation standardisée) si
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interprétations, la comparaison et l'équivalence de la fraction Lamon, S J (1993) Ratio and proportion: Children's cognitive and metacognitive
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Décomposer les fractions rationnelles suivantes en éléments simples dans C(X), d'abord la factorisation dans C[X] du dénominateur de cette fraction ration-
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