Choose the option that visually represents the following fraction:
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Choose the option that visually represents the following fraction:
To solve this problem, follow these steps:
Now, let's go through each step in detail:
Step 1: Simplify the fraction .
- The GCD of 8 and 40 is 8.
- Simplify: .
Step 2: Visualize on a circle.
- A circle divided into 5 equal sections, where 1 section is shaded, represents .
Step 3: Compare with the given options.
- Look for the option that shows a circle divided into 5 equal parts with 1 part shaded.
The correct visual representation of (or ) is Option 2, which visually displays this as one out of five equal parts shaded in a circle.
Therefore, the solution to the problem is Option 2.
Write the fraction as a mixed number:
\( \frac{10}{7}= \)
Simplifying makes visualization much easier! Instead of trying to identify 8 out of 40 tiny sections, you can easily spot 1 out of 5 equal parts. The diagrams show simple divisions, not complex ones.
List the factors: 8: 1, 2, 4, 8 and 40: 1, 2, 4, 5, 8, 10, 20, 40. The largest common factor is 8, so divide both numbers by 8.
Look for a circle divided into 5 equal sections with exactly 1 section shaded. This represents , which is the simplified form of your original fraction.
Yes! They're equivalent fractions. You can verify: . They represent the exact same portion of a whole.
Count carefully! Look for diagrams with exactly 5 equal sections (not 4, not 8). Then check that only 1 section is shaded red. The lines dividing the circle will help you count the sections.
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