Are you ready to take this lesson's quiz? The questions below will help you find out. Make sure you understand why each correct answer is correct — if you don't, review that part of the lesson.
When is the product of two fractions less than the value of either factor?
- when both fractions are improper
- when one fraction is improper and the other is a proper fraction
- when both numbers are proper fractions
- when one factor is a mixed number and the other is a proper fraction
Which represents the final grid model of \( \frac{2}{3} \times \frac{4}{5} \)
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A rectangle that is vertically divided into 3 equal columns and horizontally divided into 4 equal rows. There are 12 total sections. Of the 12 total sections, 8 are shaded green and 4 are shaded blue. The green shading represents the overlap.
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A rectangle that is vertically divided into 3 equal columns and horizontally divided into 5 equal rows. There are 15 total sections. Of the 15 total sections, 8 are shaded green, 4 are shaded blue, and 2 are shaded light green. The green shading represents the overlap.
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A rectangle that is vertically divided into 3 equal columns. One column is divided into 5 equal rows. The two columns are shaded green, and one column has 4 blue shaded boxes. The green shading represents the overlap.
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A rectangle that is vertically divided into 8 equal columns. Two columns are shaded green. Then there is an unshaded column. The next four columns are shaded blue. The final column is unshaded. The green shading represents the overlap.
What multiplication problem is represented by this grid model?
A rectangle that is vertically divided into 4 equal columns and horizontally divided into 3 equal rows. There are 12 total sections. Of the 12 total sections, 3 are shaded green, 1 is shaded blue, and 6 are shaded yellow. The green shading represents the overlap.
- \( \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} \)
- \( \frac{3}{4} \times \frac{3}{12} = \frac{3}{16} \)
- \( \frac{2}{3} \times \frac{2}{4} = \frac{4}{12} \)
- \( \frac{3}{4} \times \frac{1}{3} = \frac{3}{12} \)
What is \( \frac{5}{6} \) of \( \frac{3}{2} \)?
- \( \frac{5}{4} \)
- \( \frac{17}{12} \)
- \( \frac{2}{3} \)
- \( \frac{7}{3} \)
\( \frac{5}{6} \times \frac{2}{3} = \frac{5 \times 3}{6 \times 2} = \frac{15}{12}\)
Both 15 and 12 share a GCF of 3. Then:
\( \frac{15 \div 3}{12 \div 3} = \frac{5}{4}\)
What is the first step to best predict the product of \( \frac{9}{4} \times \frac{4}{15} \)?
- Simplify the product.
- Carry out the multiplication.
- Determine what kinds of fractions are being multiplied.
- Calculate the sum of 2 and 4, then multiply it by 1.
Summary
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Questions answered incorrectly:
