Convert Visual Circle Fraction: Interpreting Shaded Sectors to Numbers

Circle Fractions with All Sectors Shaded

Write the fraction shown in the drawing, in numbers:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's change this picture into a simple fraction.
00:07 To make a fraction, put the red in the numerator, and the black in the denominator.
00:12 It looks like the whole is split into 3 equal parts.
00:16 So, we'll put 3 in the denominator.
00:20 All 3 parts are colored.
00:23 So, we'll put 3 in the numerator too.
00:27 This means the whole is colored, giving us 1.
00:30 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the fraction shown in the drawing, in numbers:

2

Step-by-step solution

The number of parts in the circle represents the denominator of the fraction, and the number of colored parts represents the numerator.

The circle is divided into 3 parts, 3 parts are colored.

Hence:

33=1 \frac{3}{3}=1

3

Final Answer

33=1 \frac{3}{3}=1

Key Points to Remember

Essential concepts to master this topic
  • Visual Rule: Count total parts for denominator, shaded parts for numerator
  • Counting Method: This circle has 3 total parts, 3 shaded parts
  • Simplification Check: When numerator equals denominator, the fraction equals 1 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing numerator and denominator positions
    Don't put total parts on top and shaded parts on bottom = wrong fraction like 3/3 becomes 3/3! This reverses the fraction's meaning. Always put shaded parts (what you have) on top and total parts (the whole) on bottom.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why does 3/3 equal 1?

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When the numerator equals the denominator, you have all the parts! Think of it as having 3 out of 3 pieces of pizza - that's the whole pizza, which equals 1.

How do I count the parts in a circle?

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Look for the dividing lines that split the circle into sections. Count each separate section as one part, whether it's shaded or not.

What if some parts are different sizes?

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In fraction problems, we assume all parts are equal sizes. If they look slightly different, it's usually just the drawing - count them as equal parts.

Can a fraction be greater than 1?

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Yes! If you had 4 shaded parts out of 3 total parts, you'd get 43 \frac{4}{3} , which is greater than 1. But this circle shows exactly 1 whole.

Do I always need to simplify my fraction?

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It's good practice to simplify when possible. Since 33=1 \frac{3}{3} = 1 , writing just "1" is the simplest form.

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