Comparing Fractions
Compare using < , > , or =
3/4 ____ 5/6
What is: 3/4 < 5/6
because 9/12 < 10/12
What is 1/4 of 8?
What is: 2
because 1/4 x 2/2 = 2/8
Write two fractions that are equivalent to one half
What is: *answers will vary*
1/2 = 2/4, 3/6, 4/8, 5/10, 6/12 etc.
Paula ate 1/2 of a 16-piece cake, and Catherine ate 1/3 of a cake the same size as Paula's. Who ate more cake?
What is: Paula ate more cake
because 1/2 = 3/6 of the cake, 1/3 = 2/6 of the cake
what is a FRACTION?
What is: any part of a group, number or whole
Write these fractions in order from least to greatest: 1/7, 1/10, 1/3, 1/2
What is: 1/10, 1/7, 1/3, 1/2
because 21/210, 30/210, 70/210, 105/210
There were 24 kids in a class. Two-thirds of them were boys. What number of the kids were girls?
What is: 8 girls
because 2/3 x 8/8 = 16/24; 24-16 = 8 girls
One third is the same as ____ sixths.
What is: 2 sixths
because 1/3 x 2/2 = 2/6
Ricky read 2/4 of a 100 page book. How many pages did he read?
What is: 50 pages
because 2/4 = 1/2, 1/2 = 50/100
What is the number above the line of a fraction,
showing the number of parts of the whole?
What is: The Numerator
Compare using <, >, or =
2/4 ___ 4/8
What is: 2/4 = 4/8
because 2/4 x 2/2 = 4/8
There are 20,000 people in a stadium. Half of them were male. Half of the males wore baseball hats. How many males were wearing baseball hats?
What is: 5,000 males were wearing baseball hats
because 1/2 = 10,000/20,000; 1/2 = 5,000/10,000
One fourth is the same as ___ twelfths
What is: 3 twelfths
because 1/4 x 3/3 = 3/12
Ms. K gave away 2/5 of her pizza to Mr. Bacon and 1/5 of her pizza to Mrs. Baer. What fraction of her pizza does Ms. K have left?
What is: 2/5
because 1 pizza = 5/5 - 2/5 = 3/5 -1/5 = 2/5 left.
What is definition of a denominator?
What is: the bottom number in a fraction showing
the number of parts the whole is divided into
Compare using <, >, or =
2/3 ___ 4/10
What is: 2/3 > 4/10
because 20/30 > 12/30
There are 24 kids in a class. One third of them went to the library, and one fourth of them went to the garden. The rest stayed in the classroom. How many kids stayed in the classroom?
What is: 10 kids stayed in the classroom.
because 1/3 = 8/24; 1/4 = 6/24; 8 + 6 = 14; 24 -14=10 kids
Two thirds is the same as ___ ninths
What is: 6 ninths
because 2/3 x 3/3 = 6/9
Robert made two pizzas: pepperoni and cheese. He cut the pepperoni into 10 slices and the cheese pizza into 8 slices. He ate half of the pepperoni and a fourth of the cheese pizza. How many SLICES did he eat in all?
What is: Robert ate 7 slices of pizza in all.
because 1/2 = 5/10 pepperoni and 1/4 = 2/8 cheese; 5 + 2 = 7 pieces of pizza in all.
Define an equivalent fraction.
What is: fractions with the same value but using different parts; 1/2 = 5/10
Write these fractions in order from least to greatest: 11/12, 9/10, 4/5, 5/6
What is: 4/5, 5/6, 9/10, 11/12
because 48/60, 50/60, 54/60, 55/60
9 out of 10 dentists recommend using a special toothbrush. If there are 100 dentists at a meeting, how many of them would recommend using the special toothbrush?
What is: 90 dentists recommend the special toothbrush
because 9/10 x 10/10 = 90/100
Three fourths is the same as ___ sixteenths
What is: 12 sixteenths
because 3/4 x 4/4 = 12/16
At a school, they were making a new playground. They made half the playground grass and half of it blacktop. Half of the blacktop was basketball courts. What fraction of the whole playground was basketball courts?
What is: 1/4 of the playground will be basketball courts
because 1 playground = 4/4 - 2/4 grass = 2/4 blacktop; 1/4 will be court
Explain the difference between a mixed fraction and an improper fraction using correct math terminology.
(DAILY DOUBLE! Worth 1,000 points)
What is:
Mixed fraction (or mixed number) is a number written as a whole number with a fraction
Improper fraction is a fraction equivalent to or larger than one whole. The numerator is larger than the denominator.