Equivalent Fractions
Write two equivalent fractions for 2/3?
Use picture, numbers, and words!
4/6, 6/9, 8/12, 10/15
4/5 ____ 4/6
Use picture, numbers, and words!
4/5 is Greater Than 4/6 because 4/5 is closer to one whole than 4/6.
Order from least to greatest 1/3, 1/5, 1/2
Use picture, numbers, and words!
1/5, 1/3, 1/2,
Andre thinks it’s strange that 1/10 of the cake would be less than 1/8 of the cake since ten is bigger than eight. To explain to Andre, draw 2 identical rectangles to represent the cakes. Show 1 tenth shaded on one and 1 eighth shaded on the other. Label the unit fractions and explain to him which slice is bigger.
Use picture, numbers, and words!
1 eighth shaded is a bigger slice than 1 tenth shaded. I know this because when I partition 1 whole into eighths and 1 whole into tenths there are less pieces of the whole in the eighth than the tenth.
1 eighth is closer to 1 whole than 1 tenth is to 1 whole. So 1 eighth shaded is greater than 1 tenth shaded.
Nikki has 3 pieces of yarn. The first piece is 5/6 feet long, the second piece is 5/3 feet long, and the third piece is 3/2 feet long. She wants to arrange them from the shortest to the longest. Draw a number line to model the length of each piece of yarn. Write a number sentence using <, >, or = to compare the pieces.
Explain using pictures, numbers, and words.
5/3 is less than 5/6 and 5/6 is less than 3/2.
3/2 is greater than 5/6 and 5/3.
Write two equivalent fractions for 1/3.
Use picture, numbers, and words!
2/6, 3/9, 4/12, 5/15
7/9 _____ 7/7
Use picture, numbers, and words!
>
7/9 is less than 7/7 because I know that when the denominator and numerator are the same number that means it is 1 whole. 7/9 is not 1 whole and 7/7 is equivalent to 1 whole. The denominator lets me know how many pieces are in the whole and the numerator tells me how many pieces of the whole are used/shaded/referenced.
Order from least to greatest 2/3, 3/6, 4/5
Use picture, numbers, and words!
3/6, 2/3, 4/5
Terry and his 3 friends baked a pizza during his sleepover. They want to share the pizza equally. Show how Terry can slice the pizza so that he and his 3 friends can each get an equal amount with none left over.
Use picture, numbers, and words!
Each person gets 1 fourth of the pizza.
Draw two models / representations of 8/4
Use picture, numbers, and words!
Two wholes with four parts in each and eight parts shaded
A number line starting from 0 and ending with 2.
Write two equivalent fractions for 5/10.
Use picture, numbers, and words!
1/2, 10/20, 15/30, 20/40
3/10 _____ 4/10
Use picture, numbers, and words!
<
3/10 is less than 4/10. I know this because the denominator is the same and the numerator is different. For both fractions the whole is partitioned into ten pieces. For three tenths only three parts of the 10 pieces are shaded. For four tenths four parts of the 10 are shaded. 4 of 10 is greater than 3 of 10.
Order from greatest to least
1/10 3/4 1/3
Use picture, numbers, and words!
What is
3/4 1/3 1/10
Terry and his 3 friends baked a pizza during his sleepover. They want to share the pizza equally. Show how Terry can slice the pizza so that he and his 3 friends can each get an equal amount with none left over. Use picture, numbers, and words!
The uneaten and leftover oatmeal is 1 eighth.
How many sixths does it take to make the same amount as 1/3 ?
Use picture, numbers, and words!
2 sixths
Write two equivalent fractions for 3/4.
Use picture, numbers, and words!
6/8, 9/12, 15/20, 18/24
2/4 ____ 6/12
Use picture, numbers, and words!
EQUAL
2/4 is equivalent to 6/12. half of 4 is 2 and half of 12 is 6. If I draw a circle and partition it into four pieces and color in two, half of the circle is shaded. If I draw a circle and partition it into 12 pieces and color in six, half of the circle is shaded. This means that 2/4 and 6/12 are equivalent fractions.
Order from greatest to least
5/8, 1/10, 3/10, 1/2, 3/8
Use picture, numbers, and words!
What is
5/8 1/2 3/8 3/10 1/10
Johnny made a square peanut butter and jelly sandwich. He ate 1/3 of it and left the rest on his plate. Draw a picture of Johnny’s sandwich. Shade the part he left on his plate, and then draw a number bond that matches what you drew. What fraction of his sandwich did Johnny leave on his plate?
Use picture, numbers, and words!
2/3 of the sandwich is left.
Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2 ?
Use picture, numbers, and words!
3 copies of 1/6 is 3/6. It is the same amount as 1/2. because both are half a whole
Write two equivalent fractions for 1.
Use picture, numbers, and words!
2/2, 3/3, 4/4, 5/5
7/10 ____ 7/5
Use picture, numbers, and words!
<
7/10 is less than 7/5.
If I partition a rectangle into 10 equal parts and color in 7 of the parts it does not reach 1 whole. 1 whole for tenths would be 10/10.
7/5 is more than 1 whole. I know this because 1 whole is when the numerator and denominator are the same number. Because the numerator is 7 it is saying there are 7 pieces shaded in. 1 whole has 5 pieces. That means that it is 1 whole and two more pieces.
Order from greatest to least
27 54 36 89
Use picture, numbers, and words!
89 54 36 27
JoAnn and Lupe live straight down the street from their school. JoAnn walks 5/6 miles and Lupe walks 7/8 miles home from school every day. Draw a number line to model how far each girl walks. Who walks the least?
Explain how you know using pictures, numbers, and words.
7 eighths is greater than 5 sixths. JoAnn walks the least.
Henry and Maddie were in a pie-eating contest. The pies were cut either into thirds or sixths. Henry picked up a pie cut into sixths and ate 4/6 of it in 1 minute. Maddie picked up a pie cut into thirds. What fraction of her pie does Maddie have to eat in 1 minute to tie with Henry? Draw a number line, and use words to explain your answer.
Use picture, numbers, and words!
2/3 is the same as 4/6. Maddie needs to eat 2/3 of the thirds pie to tie with Henry