Questions: Multiple Choice 7 points Solve. 10-4 4/7= ? 5 3/7 6 4/7 14 4/7 6 3/7

Multiple Choice 7 points Solve. 10-4 4/7= ? 5 3/7 6 4/7 14 4/7 6 3/7
Transcript text: Multiple Choice 7 points Solve. $10-4 \frac{4}{7}=$ ? $5 \frac{3}{7}$ $6 \frac{4}{7}$ $14 \frac{4}{7}$ $6 \frac{3}{7}$
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Solution

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Solution Steps

Step 1: Convert the mixed number to an improper fraction

Convert \(4 \frac{4}{7}\) to an improper fraction: \[ 4 \frac{4}{7} = \frac{4 \times 7 + 4}{7} = \frac{28 + 4}{7} = \frac{32}{7} \]

Step 2: Subtract the improper fraction from the whole number

Subtract \(\frac{32}{7}\) from \(10\): \[ 10 - \frac{32}{7} = \frac{70}{7} - \frac{32}{7} = \frac{38}{7} \]

Step 3: Convert the result back to a mixed number

Convert \(\frac{38}{7}\) to a mixed number: \[ \frac{38}{7} = 5 \frac{3}{7} \]

Step 1: Identify the fraction of paint used

Matt used \(\frac{2}{3}\) of a liter of paint. This is already given in the question.

Final Answer

  1. The correct answer is A.
  2. \(\boxed{\frac{2}{3}}\)
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