Fraction multiplication
Sarah bakes a cake and cuts it into 8 equal pieces. If she eats 1/4 of the cake, how many pieces did she eat?
1/4 x 8 = 2 pieces of cake
Sam has 3/4 of a chocolate bar. He wants to share it equally between 2 friends. How much of the chocolate bar does each friend get?
3/4 / 2 = 3/4 x 1/2 = 3/8
Each friend gets 3/8 of the chocolate bar.
Allen walks 3/5 of a mile in the morning and 2/7 of a mile in the evening. What is the total distance Allan has walked?
3/5 + 2/7 =
21/35 + 10/35 = 31/35
He walked 31/35 of a mile
A chocolate factory produced 5/6 tonnes of chocolate. The factory found out that 4/7 tonnes of chocolate had expired. How many tonnes of chocolate was not expired?
5/6 - 4/7 = 11/42
11/42 tonnes of chocolate was not expired.
A farmer has 2/3 of a field planted with corn. If 3/5 of that area is ready for harvest, what fraction of the entire field is ready for harvest?
3/5 x 2/3 = 6/15 = 2/3
A recipe calls for 5/6 cups of sugar. If you want to make half of the recipe, how much sugar should you use?
5/6 / 2 = 5/6 x 1/2 = 5/12
You use 5/12 cups of sugar
An art class is getting ready for an art project and they need paintbrushes. One pack of paintbrushes contain 24 brushes. If the class has 5/12 of a pack of brushes and they buy 1/6 of a pack of brushes. How many paintbrushes do they have in total?
5/12 = 10/24
1/6 = 4/24
10/24 + 4/24 = 14/24
They have 14 paintbrushes in total.
A pool is being filled with water. In the first hour, 3/5 of the pool was filled, in the second hour, 1/3 of the pool is filled. However, due to a leak, 1/4 of the pool's capacity drained out by the end of the second hour. What fraction of the pool is filled by the end of the second hour?
3/5 + 1/3 = 14/15
14/15 - 1/4 = 41/60
John is building a fence that is 2 1/2 meters tall. He needs to place fence posts every 3/4 meters. How many meters tall will a stack of 4 posts be?
2 1/2 = 5/2
4 x 5/2 = 20/2 = 10 meters
Sarah has 2 1/4 liters of paint. She needs to pour the paint into containers that each hold 3/8 liters. How many containers can she fill?
2 1/4 = 9/4
9/4 / 3/8 =72/12 = 6
Sarah can fill 6 containers
A fundraiser is raising money for cancer by selling cookies and cupcakes, they plan to bake 3/4 of a batch of cookies and 6/7 of a batch of cupcakes. If they already have 1/2 of a batch of cookies and 2/5 of a batch of cupcakes, how many batches of cookies and cupcakes do they have in total?
3/4 + 1/2 + 6/7 + 2/5 = 351/140 = 2 71/140
John is painting a fence. The total length of his fence is 15 1/4 meters. He paints 6 1/2 meters on Saturday and paints half of the remainder the next day before he ran out of paint. How many meters of his fence does he paint on Sunday?
15 1/4 - 6 1/2 = 8 3/4
8 3/4 x 1/2 = 4 3/8
He paints 4 3/8 of his fence on Sunday.
A rectangular plot of land has a length of 5 2/3 meters and a width of 3 1/2 meters. What is the area of the plot in square meters?
(Convert answer to mixed fraction).
5 2/3 = 17/3 and 3 1/2 = 7/2
17/3 x 7/2 = 119/6 = 19 5/6
A rope is 6 2/3 meters long. If you cut the rope into pieces, each 5/9 meters long, how many pieces of rope will you get?
6 2/3 = 20/3
20/3 / 5/9 = 180/15 = 12
You will get 12 pieces of rope
Daniel walks from his house to the the gym which is 1 1/3 miles away. His friend Timothy lives 4/5 of a mile from the same gym. What is the maximum and minimum distance of their houses?
Maximum: 1 1/3 + 4/5 = 2 2/15
Minimum: 1 1/3 - 4/5 = 8/15
Venessa is running a charity run. She ran 5/12 of the race 35 minutes in, if she continues running at the same pace, how much longer will she have to run to complete the race?
35 / 5 = 7
1/12 = 7 min
1 - 5/12 = 7/12
7 x 7 = 49
She will finish the race in 49 minutes.
A container holds 7/8 liters of juice. After pouring out 2/3 of the juice, you spill 1/4 of what remains. How much juice is left in the container after the spill?
First, find how much juice remains after pouring out 2/3:
1 − 2/3 = 1/3
So, 1/3 of 7/8 liters remains:
1/3 × 7/8 = 7/24
Now, after spilling 1/4 of what remains, you keep:
1−1/4=3/4
So, 3/4 x 7/24 =21/96 = 7/32 liters. Answer: There are 7/32 liters of juice left after the spill.
A tank contains 7/8 liters of water. After using 2/3 of the water, the remaining water is divided equally between 4 containers. How much water does each container hold?
1/3 x 7/8 = 7/24 liters remain
7/24 / 4 = 7/96
Each container hold 7/96 liters of water
Darren earns $1860 per month. He spends 8/15 on rent and 1/4 on a holiday. Darren then spends 1/2 of the reminder on food and bills. The money that is left over she saves toward a new mobile phone, how much is this?
8/15 + 1/4 = 47/60
1 - 47/60 = 13/60
13/60 x 1/2 = 13/120
13/120 x 1860 = 201.5
Tim, Kim, and Jim are related. Jim is 1/3 of Kim's age, and Tim is 1/4 of Kim's age. If Tim is 5 years younger than Jim, how old is Kim?
1/3 - 1/4 = 1/12
1/12 = 5y
12 x 5 = 60
Kim's 60 years old :)