Podcast
Questions and Answers
What is $1 rac{1}{2} imes rac{3}{4}$?
What is $1 rac{1}{2} imes rac{3}{4}$?
1_1/8
What is $ rac{5}{2} imes rac{1}{2}$?
What is $ rac{5}{2} imes rac{1}{2}$?
1_1/4
What is $1 rac{4}{7} imes 2 rac{1}{3}$?
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?
How much of the whole pie will Zoe eat if she plans to eat $ rac{1}{6}$ of $3/4$ of an apple pie?
What is the area of a rectangle with a length of $ rac{4}{5}$ unit and a width of $ rac{1}{3}$ unit?
What is the area of a rectangle with a length of $ rac{4}{5}$ unit and a width of $ rac{1}{3}$ unit?
What is the area of a rectangle with a length of $ rac{7}{5}$ unit and a width of $ rac{1}{3}$ unit?
What is the area of a rectangle with a length of $ rac{7}{5}$ unit and a width of $ rac{1}{3}$ unit?
$ rac{1}{2} imes ext{______} = rac{2}{10}$
$ rac{1}{2} imes ext{______} = rac{2}{10}$
$ rac{3}{4} imes ext{_________} = rac{21}{32}$
$ rac{3}{4} imes ext{_________} = rac{21}{32}$
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?
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?
What type of factor does Rachel need to reduce the size of her photo?
What type of factor does Rachel need to reduce the size of her photo?
What type of factor does Trenton need to expand the size of his photo?
What type of factor does Trenton need to expand the size of his photo?
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?
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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