Equivalent Fractions
What is the sum of 3/7 and 2/14?
A. 4/7
B. 1/7
C. 5/21
D. 2/7
D
What are our benchmark decimal fractions?
Decimal: 0, 0.5, 1
Fraction: 0, 1/2, 1
Find the sum: 0.4 + 0.75 + 0.3
Answer: 1.45
Which expression shows a correct strategy for evaluating 6 - 3/4?
A. 5 4/4 - 3/4
B. 6 4/4 - 3/4
C. 4/4 - 3/4
D. 5 - 3/4
A
Which of the expressions below could be used to determine the difference of the 5/6 and 1/3?
A. 10/12 - 4/12
B. 5/18 - 1/18
C. 5/6 - 2/6
D. 10/6 - 2/6
E. 15/18 - 6/18
A, C, and E
Select the equation that best estimates the difference of 3 2/7 and 1 5/8
A. 3 1/2 - 2 = 1 1/2
B. 3 1/2 - 1 1/2 = 2
C. 3 - 1 1/2 = 1/2
D. 3 -2 = 1
B
Find the difference: 1.5 - 0.38
Answer: 1.12
Which statement below is true about difference of 4 and 11/12?
A. There will be no regrouping required in order to subtract because 4 is larger than 11/12
B. We can regroup 1 of the 4 into 12/12 and subtract
C. The answer can be expressed as a mixed number because it contains more than 12 twelfths
D. It should be approximately equal to 4 - 4
B and C
Find the equivalent fractions and solve: 11/12 + 2/3
Equivalent Fractions: (for 11/12) 11/12 and (for 2/3) 8/12
Sum: 1 7/12 (ALWAYS ANSWER IN SIMPLEST FORM)
Show different ways to estimate the sum and solve for actual: 1.049 + 0.51
Estimate 1: 1 + 1 = 2
Estimate 2: 1.0 + 0.5 = 1.5
Actual: 1.049 + 0.51 = 1.559
Answer: 5.55
Solve the expression: 10 2/5 - 7 3/5
Answer 2 4/5
Find the equivalent fractions and solve: 7/12 - 1/5
Equivalent Fractions (for 7/12) 35/60 and (for 1/5) 12/60
Difference: 23/60
Use estimation to simplify the expression: (4.89 - 2 9/11) + 2/7
Estimations: (5 - 3) + 1/2
Answer: 2 1/2
Find two equivalent expressions that show the adding of like units for the following: 0.26 + 0.4 + 0.45
NOTE: the two expressions should be in decimal and then fraction form
Decimal form: (0.2 + 0.4 + 0.4) + (0.06 + 0.05)
Fraction form: 26/100 + 40/100 + 45/100
Solve the expression: 8 2/4 - 5 5/6
Answer: 2 5/6
Daniel started painting his bedroom with a gallon of paint. The smallest wall required 1/5 of the gallon. The next wall used 1/2 gallon.
How much paint did Daniel use, and how much does he have left?
Equivalent Fractions: (for 1/5) 2/10 and (for 1/2) 5/10
Used: 7/10
Left: 3/10
Carlos wanted to determine the total weight that his bike accessories add to his bike. His lock is 3.372 pounds and his light weighs 0.65 pounds. Show two ways that Carlos can estimate the weight of his accessories.
Nearest Whole: 3 + 1 = 4
Nearest Half/Whole: 3.5 + 0.5 = 4
How can you create "like units" in order to solve 0.9 - 0.41?
You can think of 9 tenths as 90 hundredths in order to subtract 90 hundredths by 41 hundredths.
Jazmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday. How much longer does she need to spend studying on Sunday in order to reach her goal?
Jazmyne needs to spend 2 7/12 hours on Sunday in order to reach her goal.