Replace the blank with < , > , or = 9/10 ____ 5/6
9/10 > 5/6; 1/10 away from the whole versus 1/6 away.
1/4 of 16 =
4
I have 2 in the denominator. I am equivalent to 2/ 4 What fraction am I ?
1/2
Aiden bought a dozen eggs at the supermarket. When he got home, he was upset because 1/4 of them were broken. How many eggs were broken?
3 eggs
What is a unit fraction?
A fraction that has 1 in the numerator.
Which fraction is greater than 2/3?
a) 3/5 c) 5/9
b) 5/6 d) 4/7
b) 5/6
2/5 of 15 =
6
I have 3 in the numerator. I am equivalent to 21/35. What fraction am I ?
3/5
A tree was 14 3/8 inches tall when it was first planted. Two years later, the tree was 21 1/8 inches tall. How much did the tree grow in the two years?
6 6/8 inches
What is an improper fraction?
A fraction where the top number (numerator) is greater than or equal to the bottom number (denominator): it is more than a whole.
Jenny had a pizza that was divided into 8 equal slices. She ate 3 of them. Danny has a pizza that is the same size, but his is divided into 4 equal slices. He ate 3 slices of his pizza. Who ate more pizza?
3/8 < 3/4 : Danny
Ms. King has a crate of 24 pieces of fruit. Two-thirds (2/3) of the fruit are apples. How many apples does Ms. King have?
16
I have 24 in the denominator. I am equivalent to 2/3. What fraction am I ?
16/24
Jeremy bakes two pans of cakes that are the same size. One cake has sprinkles on it and the other cake does not. He cuts the cake with sprinkles into 8 equal pieces. He cuts the cake without sprinkles into 16 equal pieces. His friends eat 2 slices of cake with sprinkles and 3 slices of cake without sprinkles. Did they eat more of the cake with sprinkles or without sprinkles?
2/8 > 3/16; with sprinkles
What is a mixed number?
A mixed number has a whole-number part and a fractional part; more than a whole.
Kim made two pies that were exactly the same size. The first pie was a cherry pie, which she cut into 6 equal slices. The second was a pumpkin pie, which she cut into 12 equal pieces. Kim takes her pies to a party. People eat 3 slices of cherry pie and 6 slices of pumpkin pie. Did people eat more cherry pie or pumpkin pie?
3/6 = 6/12 : the same amount of each pie was eaten
Mrs. Whyte-Smith has a class of 24 students. Three-fourths (3/4) of her students play football or soccer. How many of her students play football or soccer?
18
I have 45 in the denominator. I am equivalent to 4/9. What fraction am I ?
20/45
Four friends each ate 2/3 of an apple. How many apples did the four friends eat in all?
2 2/3 apples
What does the fraction line represent in a fraction?
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
Represents division.
Jarred has two cakes that are the same size. The first cake was chocolate, which he cut 12 equal parts. The second cake was marble, which he cut into 6 equal parts. His family eats 5 slices of chocolate cake and 3 slices of marble cake. Did they eat more chocolate cake or marble cake?
5/12 < 3/6 : marble cake
James went bowling with his family. There are 10 bowling pins. If James knocked over 3/5 of the pins, how many pins were left standing?
4
I have 63 in the denominator. I am equivalent to 2/7. What fraction am I ?
18/63
The body and head of a dog measure 19 4/5 inches, and its tail measures 10 4/5 inches. What is the total length of the dog?
30 3/5 inches
What are benchmark fractions?
Benchmark fractions are common fractions that you can use to judge other numbers against. These fractions are commonly known fractions that serve as a relevant reference point for measurement comparison. Ex. 0, 1/2, 1