Equivalent Fractions
Rewrite 3/4 with denominator 12.
9/12
1/2 + 1/3 =
5/6
Is 7/8 closer to ½ or 1?
1
3 1/2 + 1 1/2 =
5
You walk 1/4 mile to school and 1/2 mile home. How far total?
3/4
Which fraction is equivalent to 7/10?
A) 14/30
B) 21/40
C) 35/50
C) 35/50
5/6 + 1/8 =
23/24
Estimate:
5/6 + 8/10 ≈
≈ 1 + 1 = 2
4 3/4 + 2 1/4 = ?
7
A jug has 7/10 L of juice. You add 3/5 L. Total?
7/10 + 6/10 = 13/10 = 1 3/10
True or False: 6/8 = 9/12
TRUE
7/12 + 5/18 =
LCD = 36 ---> 21/36 + 10/36 = 31/36
Which is a better estimate of 8/9 + 1/12?
A) 1
B) 2
1
5 2/3 + 3 1/6 =
5 4/6 + 3 1/6 = 8 5/6
Elena reads 2 1/4 chapters yesterday and 1 2/3 today. How many chapters total?
LCD = 12 → 2 3/12 + 1 8/12 = 3 11/12
Find a common denominator for 5/6 and 3/8
24
Find the sum: 9/10 + 4/15
LCD = 30 → 27/30 + 8/30 = 35/30 = 1 5/30 =1 1/6
Estimate using benchmarks:
3/5 + 7/12
3/5 ≈ 1/2, 7/12 ≈ 1/2 → Estimate: 1
7 5/12 + 2 11/12 =
9 16/12 = 10 4/12 = 10 1/3
A painter uses 3/4 gallon of red paint and 5/8 gallon of blue. How much paint?
11/8 = 1 3/8
Create any two equivalent fractions for 11/15
Examples: 22/30, 33/45
A challenging one:
11/18 + 7/24 =
LCD = 72 → 44/72 + 21/72 = 65/72
Explain why 23/24 is a reasonable answer for 7/8 + 1/12
Both fractions' sum is close to 1. The exact sum (23/24) is just slightly below 1 → reasonable.
Hard one:
9 7/8 + 5 11/16
LCD = 16 → 9 14/16 + 5 11/16 = 14 25/16 = 15 9/16
A cyclist goes 12 2/3 miles in the morning and 9 5/6 miles in the afternoon. Total distance?
LCD = 6 → 12 4/6 + 9 5/6 = 21 9/6 = 22 3/6 = 22 1/2