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Una familia ha consumido en un día de verano:

- Dos botellas de litro y medio de agua,
- 5 botellas de 1/4 de litro de jugo de manzana,
- 4 botellas de 1/4 de litro de limonada.

¿Cuántos litros de líquido han bebido? ¿Podemos sumar o restar fracciones de distintos denominadores directamente?

Answer :

The family has consumed 5.25 liters of liquid.

To find out how many liters of liquid the family has consumed, we need to add up the volumes of water, apple juice, and lemonade.

The family consumed:
- 2 bottles of 1.5 liters of water = 2 x 1.5 = 3 liters of water
- 5 bottles of 1/4 liter of apple juice = 5 x 1/4 = 5/4 = 1.25 liters of apple juice
- 4 bottles of 1/4 liter of lemonade = 4 x 1/4 = 4/4 = 1 liter of lemonade

To add these volumes, we can convert the fractions to a common denominator. The common denominator of 1/4 and 1 is 4.

So, 1.25 liters of apple juice is equivalent to 1.25 x 4/4 = 5/4 liters.

Now we can add the volumes:
3 liters of water + 5/4 liters of apple juice + 1 liter of lemonade = 3 + 5/4 + 1 = 12/4 + 5/4 + 4/4 = (12 + 5 + 4)/4 = 21/4 = 5.25 liters of liquid.

Therefore, the family has consumed 5.25 liters of liquid.

Complete question :-

A family has consumed the following on a summer day: two bottles of 1.5 liters of water, five bottles of 1/4 liter of apple juice, and four bottles of 1/4 liter of lemonade. The question is how many liters of liquid they have consumed.

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