Fraction Mastery Quest

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Master fractions and ratios

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Madison Saunders

United States

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Fraction Mastery QuestVersion en ligne Master fractions and ratios par Madison Saunders 1 1. Topic at a Glance Today’s focus: dividing fractions with mixed numbers, creating equivalent ratios, steps for subtracting fractions, understanding unit rates, and angle types. 2 2. Dividing Fractions with Mixed Numbers To divide by a mixed number, convert both numbers to improper fractions, invert the divisor, then multiply: (a/b) ÷ (c/d) = (a/b) × (d/c). 3 3. Example: Mixed Numbers Compute 7 1/2 ÷ 2 1/3. Convert: 15/2 ÷ 7/3 = (15/2) × (3/7) = 45/14 = 3 3/14. 4 4. Creating Equivalent Ratios Two ratios are equivalent if they express the same relationship. Cross-multiply or multiply numerator and denominator by the same number to obtain an equivalent ratio. 5 5. Subtracting Fractions: Step 1 When denominators differ, find the least common denominator (LCD), then rewrite each fraction with the LCD. 6 6. Subtracting Fractions: Step 2 Subtract the numerators, keeping the common denominator. Reduce the fraction to simplest terms. 7 7. Subtracting Mixed Fractions Subtract separately the whole numbers and the fractions, or convert to improper fractions first for a smoother process. 8 8. Understanding Unit Rates A unit rate compares a quantity to one unit of another quantity (e.g., miles per hour, dollars per item). Use fractions to compare parts per whole. 9 9. Angle Types Angles are fractions of a circle: acute (< 90°), right (90°), obtuse (>90°), and straight (180°). 10 10. Quick Practice & Tips Practice converting mixed numbers, find LCDs, and simplify results. Check with visual models to reinforce understanding of fractions and ratios.

Fraction Mastery QuestVersion en ligne

Master fractions and ratios

par Madison Saunders

1. Topic at a Glance

Today’s focus: dividing fractions with mixed numbers, creating equivalent ratios, steps for subtracting fractions, understanding unit rates, and angle types.

2. Dividing Fractions with Mixed Numbers

To divide by a mixed number, convert both numbers to improper fractions, invert the divisor, then multiply: (a/b) ÷ (c/d) = (a/b) × (d/c).

3. Example: Mixed Numbers

Compute 7 1/2 ÷ 2 1/3. Convert: 15/2 ÷ 7/3 = (15/2) × (3/7) = 45/14 = 3 3/14.

4. Creating Equivalent Ratios

Two ratios are equivalent if they express the same relationship. Cross-multiply or multiply numerator and denominator by the same number to obtain an equivalent ratio.

5. Subtracting Fractions: Step 1

When denominators differ, find the least common denominator (LCD), then rewrite each fraction with the LCD.

6. Subtracting Fractions: Step 2

Subtract the numerators, keeping the common denominator. Reduce the fraction to simplest terms.

7. Subtracting Mixed Fractions

Subtract separately the whole numbers and the fractions, or convert to improper fractions first for a smoother process.

8. Understanding Unit Rates

A unit rate compares a quantity to one unit of another quantity (e.g., miles per hour, dollars per item). Use fractions to compare parts per whole.

9. Angle Types

Angles are fractions of a circle: acute (< 90°), right (90°), obtuse (>90°), and straight (180°).

10. Quick Practice & Tips

Practice converting mixed numbers, find LCDs, and simplify results. Check with visual models to reinforce understanding of fractions and ratios.

Vous pouvez intégrer le jeu dans un LMS compatible avec LTI 1.1 ou LTI 1.3 comme Canvas, Moodle ou Blackboard. Les scores seront ainsi automatiquement enregistrés dans le carnet de notes de la plateforme.

Fraction Mastery Quest

Présentation

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Fraction Mastery QuestVersion en ligne

par Madison Saunders

1. Topic at a Glance

2. Dividing Fractions with Mixed Numbers

3. Example: Mixed Numbers

4. Creating Equivalent Ratios

5. Subtracting Fractions: Step 1

6. Subtracting Fractions: Step 2

7. Subtracting Mixed Fractions

8. Understanding Unit Rates

9. Angle Types

10. Quick Practice & Tips

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