70 ml
<h3>
Further explanation</h3>
<u>Given:</u>
2.1 liters of coffee were equally distributed to 30 cups.
<u>Question:</u>
How many milliliters of coffee were in each cup?
<u>The Process:</u>
<u>Step-1:</u> converting liters into milliliters
Recall ![\boxed{ \ 1 \ liter = 1,000 \ milliliters \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%201%20%5C%20liter%20%3D%201%2C000%20%5C%20milliliters%20%5C%20%7D)
Let us change the 2.1 liters unit of coffee into milliliters.
![\boxed{ \ 2.1 \ liters \times \frac{1,000 \ mL}{1 \ liter} = \ ? \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%202.1%20%5C%20liters%20%5Ctimes%20%5Cfrac%7B1%2C000%20%5C%20mL%7D%7B1%20%5C%20liter%7D%20%3D%20%5C%20%3F%20%5C%20%7D)
![\boxed{ \ = 2.1 \times 1,000 \ mL} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%3D%202.1%20%5Ctimes%201%2C000%20%5C%20mL%7D%20%5C%20%7D)
![\boxed{ \ = 21 \times \frac{1}{10} \times 1,000 \ mL} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%3D%2021%20%5Ctimes%20%5Cfrac%7B1%7D%7B10%7D%20%5Ctimes%201%2C000%20%5C%20mL%7D%20%5C%20%7D)
![\boxed{ \ = 21 \times 100 \ mL} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%3D%2021%20%5Ctimes%20100%20%5C%20mL%7D%20%5C%20%7D)
![\boxed{\boxed{ \ 2,100 \ mL \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%20%5C%202%2C100%20%5C%20mL%20%5C%20%7D%7D)
Therefore, 2,100 mL of coffee are available for distribution.
<u>Step-2:</u> calculating how many milliliters of coffee were in each cup
![\boxed{ \ 30 \ cups = 2,100 \ mL \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%2030%20%5C%20cups%20%3D%202%2C100%20%5C%20mL%20%5C%20%7D)
![\boxed{ \ 1 \ cups = \ ? \ mL \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%201%20%5C%20cups%20%3D%20%5C%20%3F%20%5C%20mL%20%5C%20%7D)
We have to divide the total amount of coffee by the number of cups.
![\boxed{ \ 1 \ cup \times \frac{2,100 \ mL}{30 \ cups} \times 1,000 \ mL = \ ? \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%201%20%5C%20cup%20%5Ctimes%20%5Cfrac%7B2%2C100%20%5C%20mL%7D%7B30%20%5C%20cups%7D%20%5Ctimes%201%2C000%20%5C%20mL%20%3D%20%5C%20%3F%20%5C%20%7D%7D)
![\boxed{ \ = \frac{2,100}{30} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%3D%20%5Cfrac%7B2%2C100%7D%7B30%7D%20%5C%20%7D)
The numerator and denominator are equally divided by 10.
![\boxed{ \ = \frac{210}{3} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%3D%20%5Cfrac%7B210%7D%7B3%7D%20%5C%20%7D)
![\boxed{ \ = 210 \div 3 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%3D%20210%20%5Cdiv%203%20%5C%20%7D)
![\boxed{\boxed{ \ 70 \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%20%5C%2070%20%5C%20%7D%7D)
Thus, 70 milliliters of coffee were in each cup.
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Keywords: 2.1 liters of coffee, were equally distributed, to 30 cups, how many, milliliters, in each cup, least common multiple, LCM, numerator, denominator