Questions and Answers
What is $1 rac{1}{2} imes rac{3}{4}$?
1_1/8
What is $ rac{5}{2} imes rac{1}{2}$?
1_1/4
What is $1 rac{4}{7} imes 2 rac{1}{3}$?
3_2/3
How much of the whole pie will Zoe eat if she plans to eat $ rac{1}{6}$ of $3/4$ of an apple pie?
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What is the area of a rectangle with a length of $ rac{4}{5}$ unit and a width of $ rac{1}{3}$ unit?
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What is the area of a rectangle with a length of $ rac{7}{5}$ unit and a width of $ rac{1}{3}$ unit?
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$ rac{1}{2} imes ext{______} = rac{2}{10}$
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$ rac{3}{4} imes ext{_________} = rac{21}{32}$
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How much of her room will Marteen paint today before lunch if she wants to paint $ rac{2}{3}$ of her room and plans to paint $ rac{1}{4}$ of that before lunch?
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What type of factor does Rachel need to reduce the size of her photo?
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What type of factor does Trenton need to expand the size of his photo?
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If Gia's bus route to school is five and one-half miles, what is the length of her bus route home if it is one and three-fifths times as long?
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Study Notes
Multiplication of Fractions
- (1 \frac{1}{2} \times \frac{3}{4} = \frac{9}{8} = 1 \frac{1}{8})
- (\frac{5}{2} \times \frac{1}{2} = \frac{5}{4} = 1 \frac{1}{4})
- (1 \frac{4}{7} \times 2 \frac{1}{3} = \frac{26}{7} = 3 \frac{5}{7})
Fractions of Quantity
- From 3/4 of an apple pie, Zoe will eat ( \frac{1}{6} \times \frac{3}{4} = \frac{1}{8} ) of the whole pie.
Area of Rectangles
- Area of a rectangle (length ( \frac{4}{5} ), width ( \frac{1}{3} )):
- ( \frac{4}{5} \times \frac{1}{3} = \frac{4}{15} ) sq. units
- Area of a rectangle (length ( \frac{7}{5} ), width ( \frac{1}{3} )):
- ( \frac{7}{5} \times \frac{1}{3} = \frac{7}{15} ) sq. units
Finding Missing Values
- ( \frac{1}{2} \times x = \frac{2}{10} )
- Solving gives ( x = \frac{2}{5} )
- ( \frac{3}{4} \times y = \frac{21}{32} )
- Solving gives ( y = \frac{7}{8} )
Common Fraction Applications
- Marteen plans to paint (\frac{2}{3}) of her room, intending to paint (\frac{1}{4}) of that before lunch:
- Total painted before lunch: ( \frac{1}{4} \times \frac{2}{3} = \frac{1}{6} )
Photo Resizing
- Reducing a photo’s size requires multiplying by a fraction less than one whole.
- Expanding a photo’s size requires multiplying by a fraction greater than one whole.
Bus Route Distance
- Gia's school bus route is (5 \frac{1}{2}) miles; the return route is (1 \frac{3}{5}) times longer:
- Length of the bus route home: (8 \frac{4}{5}) miles.
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Description
This quiz covers the multiplication of fractions, including mixed numbers and their applications in real-life scenarios. You'll explore calculating areas of rectangles using fractional dimensions and finding missing values in equations. Test your understanding through various problems to improve your fraction skills.
