the math problem is 8 3/5 divided by 1 2/3 =5 4/25 how do you answer with bar models
To solve the math problem using bar models, you can follow these steps:
Step 1: Understand the Problem
The problem states: 8 3/5 divided by 1 2/3 = 5 4/25. We need to find the quotient of the given division.
Step 2: Convert the Mixed Numbers to Improper Fractions (Optional)
To simplify the calculations, we can convert the mixed numbers into improper fractions. It is not necessary but can be helpful.
8 3/5 can be converted to an improper fraction as follows:
(8 x 5 + 3) / 5 = 43/5
1 2/3 can be converted to an improper fraction as follows:
(1 x 3 + 2) / 3 = 5/3
The problem now becomes: 43/5 divided by 5/3 = 5 4/25.
Step 3: Use Bar Models to Solve the Division
Bar models can be a visual representation of the division problem. In this case, we'll use the following bar model:
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| 43/5 divided by 5/3 = 5 4/25 |
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Divide the bar into two parts to represent the fractions 43/5 and 5/3:
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| 43/5 divided by | 5/3 = 5 4/25 |
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Now, we need to determine how many times 5/3 fits into 43/5.
First, multiply the numerator of the fraction outside the division bar (43) by the denominator of the fraction inside the division bar (3):
43 x 3 = 129
Similarly, multiply the denominator of the fraction outside the division bar (5) by the numerator of the fraction inside the division bar (5):
5 x 5 = 25
So, we have
43/5 divided by 5/3 = (43 x 3) / (5 x 5)
Step 4: Simplify the Division
Now we can simplify the division by multiplying the numerator and the denominator:
43 x 3 = 129
5 x 5 = 25
So, the simplified fraction is:
129/25
Step 5: Convert the Improper Fraction to a Mixed Number (Optional)
If needed, you can convert the improper fraction 129/25 to a mixed number. In this case, the division results in a mixed number.
Divide the numerator (129) by the denominator (25):
129 ÷ 25 = 5 remainder 4
Therefore, the final result is:
43/5 divided by 5/3 = 5 4/25