Calculating the Amount of Juice Ali Drank

Oct 13, 2025 by talynt.org 38 views

Introduction

In this problem, we are given a jug containing 7/8 litres of fruit juice. Ali, the thirsty individual, drank 2/3 of the fruit juice. Our task is to determine the amount of fruit juice Ali consumed, expressed in litres. To solve this problem, we need to perform some mathematical operations involving fractions.

Understanding the Problem

Let's break down the problem step by step. We are given a jug with 7/8 litres of fruit juice. Ali drank 2/3 of this juice. To find out how much Ali drank, we need to multiply the amount of juice in the jug by the fraction that Ali consumed.

Calculating the Amount of Juice Ali Drank

To calculate the amount of juice Ali drank, we need to multiply the amount of juice in the jug (7/8 litres) by the fraction that Ali consumed (2/3). We can do this by multiplying the numerators (7 and 2) and the denominators (8 and 3) separately.

(7/8) × (2/3) = (7 × 2) / (8 × 3)

Multiplying the Numerators and Denominators

Now, let's multiply the numerators (7 and 2) and the denominators (8 and 3) separately.

(7 × 2) = 14
(8 × 3) = 24

Writing the Result as a Fraction

Now that we have the product of the numerators and the product of the denominators, we can write the result as a fraction.

(7/8) × (2/3) = 14/24

Simplifying the Fraction

The fraction 14/24 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 14 and 24 is 2.

14 ÷ 2 = 7
24 ÷ 2 = 12

Writing the Simplified Fraction

Now that we have simplified the fraction, we can write the result as a fraction with a smaller numerator and denominator.

(7/8) × (2/3) = 7/12

Converting the Fraction to a Decimal

To express the amount of juice Ali drank in litres, we can convert the fraction to a decimal. To do this, we need to divide the numerator (7) by the denominator (12).

7 ÷ 12 = 0.5833

Conclusion

In conclusion, Ali drank 7/12 litres of fruit juice from the jug. We can express this amount in decimal form as 0.5833 litres.

Final Answer

The final answer is 0.5833 litres.

Introduction

In our previous article, we solved the problem of a jug containing 7/8 litres of fruit juice and Ali drinking 2/3 of the fruit juice. We calculated that Ali drank 7/12 litres of fruit juice. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q1: What is the amount of fruit juice in the jug?

A1: The amount of fruit juice in the jug is 7/8 litres.

Q2: What fraction of the fruit juice did Ali drink?

A2: Ali drank 2/3 of the fruit juice.

Q3: How much fruit juice did Ali drink?

A3: Ali drank 7/12 litres of fruit juice.

Q4: Can you express the amount of juice Ali drank in decimal form?

A4: Yes, the amount of juice Ali drank can be expressed in decimal form as 0.5833 litres.

Q5: What is the greatest common divisor (GCD) of 14 and 24?

A5: The GCD of 14 and 24 is 2.

Q6: Can you simplify the fraction 14/24?

A6: Yes, the fraction 14/24 can be simplified by dividing both the numerator and the denominator by their GCD, which is 2.

Q7: What is the simplified fraction of 14/24?

A7: The simplified fraction of 14/24 is 7/12.

Q8: How do you convert a fraction to a decimal?

A8: To convert a fraction to a decimal, you need to divide the numerator by the denominator.

Q9: Can you give an example of converting a fraction to a decimal?

A9: Yes, for example, to convert the fraction 7/12 to a decimal, you need to divide the numerator (7) by the denominator (12), which gives you 0.5833.

Q10: What is the final answer to the problem?

A10: The final answer to the problem is that Ali drank 7/12 litres of fruit juice, which can be expressed in decimal form as 0.5833 litres.

Conclusion

In conclusion, we have answered some frequently asked questions related to the problem of a jug containing 7/8 litres of fruit juice and Ali drinking 2/3 of the fruit juice. We hope that this Q&A article has provided you with a better understanding of the problem and its solution.

Final Answer

The final answer is 0.5833 litres.