The two boys spent hours on their project. This is equivalent to 5 hours and 55 minutes.
Step-by-step explanation:
ADDITION OF FRACTIONS
Recipes, construction, rainfall, timesheets, and measures are just a few examples of how fractions are employed in everyday life. You may need to mix portions of wholes from time to time. Fractions and mixed numbers can be added in the same way as whole numbers may.
To determine the total hours spent on the project, we simply need to add Ronald's and Marlon's individual time.
Given: Ronald spent 5 1/6 hours, while Marlon spent ¾ hours (assuming that you typed the data correctly).
How to add fractions?
Step 1: Separate the whole number/s. In our case, we only have one whole number which is 5.
Step 2: To add the fractions, we get the least common multiples of the denominators in order to change them into similar fractions.
Multiples of 6: 6, 12, 18, 24, 30, …
Multiples of 4: 4, 8, 12, 16, 20, …
The least common multiple of 6 and 4 is 12.
Step 3: Add the fractions.
=
= 5 +
= 5 + (
= 5 +
=
Therefore, the two boys spent hours on their project. This is equivalent to 5 hours and 55 minutes.
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Answers & Comments
Verified answer
Answer:
The two boys spent
hours on their project. This is equivalent to 5 hours and 55 minutes.
Step-by-step explanation:
ADDITION OF FRACTIONS
To determine the total hours spent on the project, we simply need to add Ronald's and Marlon's individual time.
Given: Ronald spent 5 1/6 hours, while Marlon spent ¾ hours (assuming that you typed the data correctly).
How to add fractions?
Step 1: Separate the whole number/s. In our case, we only have one whole number which is 5.
Step 2: To add the fractions, we get the least common multiples of the denominators in order to change them into similar fractions.
The least common multiple of 6 and 4 is 12.
Step 3: Add the fractions.
=![5\frac{1}{6}+\frac{3}{4} 5\frac{1}{6}+\frac{3}{4}](https://tex.z-dn.net/?f=5%5Cfrac%7B1%7D%7B6%7D%2B%5Cfrac%7B3%7D%7B4%7D)
= 5 +![(\frac{1}{6}+\frac{3}{4}) (\frac{1}{6}+\frac{3}{4})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%2B%5Cfrac%7B3%7D%7B4%7D%29)
= 5 + (![(\frac{1}{6}+\frac{3}{4} =\frac{2+9}{12}=\frac{11}{12}) (\frac{1}{6}+\frac{3}{4} =\frac{2+9}{12}=\frac{11}{12})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%2B%5Cfrac%7B3%7D%7B4%7D%20%20%3D%5Cfrac%7B2%2B9%7D%7B12%7D%3D%5Cfrac%7B11%7D%7B12%7D%29)
= 5 +![\frac{11}{12} \frac{11}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B12%7D)
=![5\frac{11}{12} 5\frac{11}{12}](https://tex.z-dn.net/?f=5%5Cfrac%7B11%7D%7B12%7D)
Therefore, the two boys spent
hours on their project. This is equivalent to 5 hours and 55 minutes.
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