Math

QuestionThree milk containers have capacities: 1.516 L, 13201 \frac{3}{20} L, and 1 L + 45mt45 \mathrm{mt}. Convert to mL and find the smallest.

Studdy Solution

STEP 1

Assumptions1. The capacities of the three milk containers are given in different units. .1 litre =1000 millilitres (mt)
3. We need to convert all the capacities to the same unit (millilitres) to compare them.

STEP 2

First, let's convert the capacity of the first container from litres to millilitres. We can do this by multiplying the given capacity in litres by1000.
Capacitymt=Capacitylitrestimes1000Capacity_{mt} = Capacity_{litres} \\times1000

STEP 3

Now, plug in the given value for the capacity of the first container to calculate its capacity in millilitres.
Capacitymt=1.516times1000Capacity_{mt} =1.516 \\times1000

STEP 4

Calculate the capacity of the first container in millilitres.
Capacitymt=1.516times1000=1516mtCapacity_{mt} =1.516 \\times1000 =1516\, mt

STEP 5

Next, let's convert the capacity of the second container from litres to millilitres. The capacity is given as a mixed number, 13201 \frac{3}{20} litres. First, convert this mixed number to a decimal.
1320=1+320=1.151 \frac{3}{20} =1 + \frac{3}{20} =1.15

STEP 6

Now, multiply the decimal value by1000 to convert the capacity to millilitres.
Capacitymt=1.15times1000Capacity_{mt} =1.15 \\times1000

STEP 7

Calculate the capacity of the second container in millilitres.
Capacitymt=1.15times1000=1150mtCapacity_{mt} =1.15 \\times1000 =1150\, mt

STEP 8

The capacity of the third container is given as1 litre and45 millilitres. Convert the1 litre to millilitres and add the45 millilitres.
Capacitymt=1times1000+45Capacity_{mt} =1 \\times1000 +45

STEP 9

Calculate the capacity of the third container in millilitres.
Capacitymt=times100+45=1045mtCapacity_{mt} = \\times100 +45 =1045\, mt

STEP 10

Now that we have the capacities of all three containers in the same unit (millilitres), we can compare them to find the smallest.The smallest container is the one with the smallest capacity in millilitres.
The smallest container is the third one, with a capacity of1045 millilitres.

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