Adding fractions
Which is larger, 2/5 or 3/5? Explain briefly.
3/5 because they have the same denominator so the pieces are all the same size. 3 pieces is more than 2 pieces.
A fraction names ____ of a whole.
Part or piece
A chef bought ⁷⁄₁₂ pounds of carrots. If he later bought another ⁵⁄₁₂ pounds of carrots, what is the total weight of carrots he bought?
12/12 = 1 pound
Add the fractions. Write the answer as a mixed number. 1/8 + 1/8 + 1/4 =
4/8
Compare 3/8 and 3/5. Which is larger and why?
3/5 is larger. Both fractions have 3 pieces. 1/5 pieces are bigger than 1/8 pieces so 3/5 is bigger.
What is the definition of the word "numerator"?
the number above the fraction bar that shows the number of equal parts that we have or that is represented.
Sam drew a line that was 2/10 inches long. If he drew a second line that was 4/10 inches longer, what is the length of the second line?
6/10 inches
Evaluate the expression. 4/12 + 1/3
8/12
Is 4/5 or 2/3 smaller? How do you know?
2/3 is smaller. Both are missing 1 piece to make the fraction whole. 2/3 is missing a BIGGER piece so it is FARTHER from 1 whole.
Define denimominator.
The part of the fraction that comes under the fraction bar. It names how many pieces there are in the whole or how many pieces the fraction is cut into.
Amy had 9/12 cups of flour. If she used 5/12 cups of flour for baking, how much flour does she still have?
4/12 cups of flour
What is 1/3 + 2/4
10/12
Compare the fractions 3/4 and 9/12. Use <, >, or =. Show your work
3/4 can be turned into 9/12, therefore 3/4 = 9/12
What does it mean is fractions are equivalent?
They are different fractions that have the same VALUE.
Sam spent 7/10 hours working on his reading and math homework. If he spent 4/10 hours on his reading homework, how much time did he spend on his math homework?
3/10 hours
On Monday Terra spent 1/3 hours studying. On Tuesday she spent another 1/6 hours studying. and on Wednesday she spend 1/2 hour studying. What is the total length of time she spent studying?
1 hour
Compare 7/9 and 3/4. Use <, >, =, and show your work.
7/9 becomes 28/36 and 3/4 becomes 27/36.
Therefore 7/9 > 3/4
OR
3/4 < 7/9
What is a mixed number?
A number that has both a whole number and a fractional amount. They are used to show fractions larger than 1.