Questions: Subtract. Write your answer as a mixed number in simplest form. 8 5/7 - 3 3/7

Subtract. Write your answer as a mixed number in simplest form.
8 5/7 - 3 3/7
Transcript text: Subtract. Write your answer as a mixed number in sim \[ 8 \frac{5}{7}-3 \frac{3}{7} \]
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Solution

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Solution Steps

To solve the subtraction of mixed numbers, we need to follow these steps:

  1. Separate the whole numbers and the fractional parts.
  2. Subtract the whole numbers.
  3. Subtract the fractional parts. If the fractional part of the minuend is smaller than the fractional part of the subtrahend, borrow 1 from the whole number part.
  4. Combine the results to form the final mixed number.
Step 1: Separate Whole Numbers and Fractions

We start with the mixed numbers 857 8 \frac{5}{7} and 337 3 \frac{3}{7} . We separate the whole numbers and the fractional parts:

  • Whole numbers: 8 8 and 3 3
  • Fractions: 57 \frac{5}{7} and 37 \frac{3}{7}
Step 2: Subtract Whole Numbers

Next, we subtract the whole numbers: 83=5 8 - 3 = 5

Step 3: Subtract Fractions

Now, we subtract the fractional parts. Since 57 \frac{5}{7} is greater than 37 \frac{3}{7} , we can directly subtract: 5737=27 \frac{5}{7} - \frac{3}{7} = \frac{2}{7}

Step 4: Combine Results

We combine the results of the whole number and the fractional part: 5+27=527 5 + \frac{2}{7} = 5 \frac{2}{7}

Final Answer

The final result of the subtraction 857337 8 \frac{5}{7} - 3 \frac{3}{7} is 527 \boxed{5 \frac{2}{7}}

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