How to Calculate the Total Amount of Juices in Two Bottles: A Simple Guide

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Math problems often require the addition of fractions, especially when dealing with measurements like liters. This article will help you understand how to calculate the total amount of juice in two bottles with given fractions. We'll use a practical example to illustrate the process and ensure that you can handle similar problems with ease.

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Problem: Bottle A contains 9/10 liters of juice. Bottle B contains 3/4 liter of juice. How much juice are there in both bottles?

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Let's break down the problem step by step.

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Step 1: Convert the Fractions to a Common Denominator

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To add the fractions, we first need to convert them to a common denominator. The denominators are 10 and 4, and the least common multiple (LCM) of 10 and 4 is 20.

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Step 2: Rewriting the Fractions

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Convert 9/10 to a fraction with a denominator of 20. Do the same for 3/4.

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9/10 9 × 2 / 10 × 2 18/20

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3/4 3 × 5 / 4 × 5 15/20

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Now we can add the fractions:

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18/20 15/20 33/20

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33/20 can be written as 1 and 13/20. Therefore, the total amount of juice in both bottles is 1 13/20 liters.

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Alternatively, we can convert the fractions to decimals to simplify the process:

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9/10 0.9

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3/4 0.75

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0.9 0.75 1.65 liters

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Step 3: Simplify the Final Answer

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1.65 liters can also be written as 1 13/20 liters, which is the same as 33/20 liters.

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Summary and Practice

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In summary, to find the total amount of juice in two bottles with given fractions, you need to:

" "Identify the fractions and their denominators." "Find the least common multiple (LCM) of the denominators." "Convert each fraction to its equivalent form with the LCM as the denominator." "Add the numerators of the converted fractions." "Simplify the final answer if it is an improper fraction." "Convert the fraction to a decimal if necessary." "

By following these steps, you can solve similar problems efficiently. Remember, practice is key to mastering fraction addition and other mathematical operations. Try similar problems to reinforce your understanding.