Matthew used 1/5 of a box of flour for cooking and 3/4 of the remainder to make bread. The rest of the flour was packed equally into 5 containers. What fraction of the total amount of flour was in each container?
Matthew
used 1/5 of a box of flour for cooking.
=> Let’s convert this to decimals.
=> 1/5 = 0.2
Next, ¾ of the flour remainder is for the making bread
=> ¾ = .75
The rest are equally divided into 5 containers. Now, we need to find the total
amount of flour used in each container.
=> Let’s add first the first 2 fractions converted to decimals.
=> 0.2 + .75 = 0.95
=> 1.00 – 0.95 = 0.05
=> 0.05 / 5 = 0.01 => total amount of flour in each container.
If you would like to know what fraction of the total amount of flour was in each container, you can calculate this using the following steps:
used 1/5 of a box of flour for cooking:
1 - 1/5 = 5/5 - 1/5 = 4/5 remained
3/4 of the remainder to make bread:
4/4 - 3/4 = 1/4
1/4 of 4/5 = 1/4 4/5 = 1/5 of the box of flour remained
packed equally into 5 containers:
1/5 / 5 = 1/5 1/5 = 1/25 of the box of flour was put into each container
Result: 1/25 of the total amount of flour was in each container.