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Multiplying Fractions. (Chapter 10.2). Representing Fractions Visually. Carolyn asked 3/4 of her classmates what time they leave for school in the morning. Of those she asked, 1/2 leave at 7:00 am. What fractional part of the class told her that they leave for school at 7:00 am?.
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Multiplying Fractions (Chapter 10.2)
Representing Fractions Visually • Carolyn asked 3/4 of her classmates what time they leave for school in the morning. Of those she asked, 1/2 leave at 7:00 am. What fractional part of the class told her that they leave for school at 7:00 am?
Representing Fractions Visually • Carolyn asked 3/4 of her classmates what time they leave for school in the morning. Of those she asked, 1/2 leave at 7:00 am. What fractional part of the class told her that they leave for school at 7:00 am? • Fold paper into four parts. Shade three parts to show 3/4.
Representing Fractions Visually • Carolyn asked 3/4 of her classmates what time they leave for school in the morning. Of those she asked, 1/2 leave at 7:00 am. What fractional part of the class told her that they leave for school at 7:00 am? • Fold the paper in half. Shade 1/2 the paper (a different color than your first shading).
Representing Fractions Visually • Carolyn asked 3/4 of her classmates what time they leave for school in the morning. Of those she asked, 1/2 leave at 7:00 am. What fractional part of the class told her that they leave for school at 7:00 am? • What fraction of the paper has been shaded twice? There’s your answer to the math problem!
The Algorithym • 1/2 of 3/4 = 3/8 • 1/2 x 3/4 = 3/8
Visual Representation #2 • A girl had 3/4 of a box of snacks left from a school party. She gives 2/5 of the snacks to the people in the school office. What part of the box of snacks does she give to the people in the office? • Find 2/5 x 3/4.
Visual Representation #2 • A girl had 3/4 of a box of snacks left from a school party. She gives 2/5 of the snacks to the people in the school office. What part of the box of snacks does she give to the people in the office? • Fold the paper into four parts. Shade three to show 3/4.
Visual Representation #2 • A girl had 3/4 of a box of snacks left from a school party. She gives 2/5 of the snacks to the people in the school office. What part of the box of snacks does she give to the people in the office? • Fold the paper into five parts. Shade two to show 2/5.
Visual Representation #2 • A girl had 3/4 of a box of snacks left from a school party. She gives 2/5 of the snacks to the people in the school office. What part of the box of snacks does she give to the people in the office? • What fraction of the paper has been shaded twice?
The Algorithym • 2/5 x 3/4 • 2 x 3Look for GCFs. 5 x 4 1 x 3 = 3Divide by GCF. Then 5 x 2 = 10 multiply.
Independent Practice • Page 205 (19-23) • Show each problem with the algorithym AND a visual representation.
Homework • PW 10.2