Equivalent Fractions
6/8, 9/12, 300/400, etc...
1/4 + 1/2
3/4
3/4 - 1/4
1/2
1/3 x 3/4
1/4
Mia ran 3/5 of a mile on Monday and 1/5 of a mile on Tuesday. How many miles did she run in total?
4/5 mile
True or False: 12/20 is equivalent to 3/5
True!
5/6 + 1/3
1 1/6 or 7/6
5/6 - 1/2
2/6 or 1/3
5/8 x 2/3
10/24 or 5/12
A ribbon 7/8 yard long is cut into two pieces: 1/4 yard and the rest. How long is the rest?
5/8 yard
Find the missing numerator: ___/24 = 5/8
15
7/12 + 5/8
29/24 or 1 5/24
11/12 - 2/9
25/36
7/9 x 9/14
63/126 or 1/2
A classroom bookshelf holds 5/6 of the reading books. After adding a new box of books that is 1/3 of the shelf capacity, what fraction is now filled?
7/6 or 1 1/6 - shelf is 1/6 over capacity
Is 14/21 equivalent to 2/3?
Yes! 14 and 21 are both divisible by 7
3/5 + 4/7
41/35 or 1 6/35
7/8 - 3/10
23/40
3 1/2 x 4/5
14/5 or 2 4/5
A paint can covers 2/3 of a wall. Two painters each paint 1/6 of the same wall. How much of the wall is painted total? Is there overlap?
1/3 with no overlap
Emma says 0.75 = 3/4 = 75/100. Is she correct?
YES!
A recipe needs 2/3 cup of sugar and another 3/4 cup of sugar. How much sugar total?
17/12 or 1 5/12
A tank is 9/10 full. After using 7/12 of the tank, what fraction remains?
19/60
A map scale says 1/2 inch represents 3/4 mile. If a route is 7/8 inch on the map, how many miles is the route?
21/16 or 1 5/16 miles
A charity collected 9/10 of its goal in the first month and 4/5 of the remaining goal in the second month. What fraction of the original goal remains after the second month?
1/50
First month: 9/10 of goal achieved. Remaining = 1/10. Second month: 4/5 of remaining = (4/5)×(1/10)=4/50=2/25. After second month total achieved = 9/10 + 2/25 = convert to 50ths: 45/50 + 4/50 = 49/50. Remaining = 1/50.