Fraction Mastery Quest

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Master fractions and ratios

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Madison Saunders

Estados Unidos

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Fraction Mastery QuestVersión en línea Master fractions and ratios por 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 QuestVersión en línea

Master fractions and ratios

por 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.

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