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What is 43​+41​​four thirds plus four over one?Select the least common denominator of 43​​four thirds and 41​​four over one.

Question

What is 43​+41​​four thirds plus four over one?Select the least common denominator of 43​​four thirds and 41​​four over one.

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Solution

Sure, let's solve the problem step by step.

  1. Identify the fractions involved:

    • The first fraction is 43 \frac{4}{3} .
    • The second fraction is 41 \frac{4}{1} .
  2. Find the least common denominator (LCD) of the two fractions:

    • The denominators are 3 and 1.
    • The least common denominator of 3 and 1 is 3.
  3. Convert the fractions to have the same denominator:

    • The first fraction 43 \frac{4}{3} already has the denominator 3.
    • Convert the second fraction 41 \frac{4}{1} to have the denominator 3: 41=4×31×3=123 \frac{4}{1} = \frac{4 \times 3}{1 \times 3} = \frac{12}{3}
  4. Add the fractions:

    • Now that both fractions have the same denominator, add the numerators: 43+123=4+123=163 \frac{4}{3} + \frac{12}{3} = \frac{4 + 12}{3} = \frac{16}{3}

So, 433+411=163 4 \frac{3}{3} + 4 \frac{1}{1} = \frac{16}{3} .

This problem has been solved

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