Convert Grid-Shaded Fraction to Written Words: Visual Math Practice

Fraction Writing with Grid Visual Models

Write the fraction shown in the picture, in words:

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Step-by-step written solution

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Understand the problem

Write the fraction shown in the picture, in words:

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Step-by-step solution

To solve the problem of expressing the fraction in words, follow these steps:

  • Step 1: Count the total number of sections in the grid to determine the denominator.
  • Step 2: Count the number of shaded sections to determine the numerator.
  • Step 3: Write the fraction as a phrase using words.

Now, let's work through these steps:

Step 1: The grid consists of a 3×33 \times 3 layout, which means there are 9 total sections. Therefore, the denominator of our fraction is 9.

Step 2: Observe and count the number of shaded sections within the grid. In this case, there are 4 shaded sections. Therefore, the numerator is 4.

Step 3: With a fraction identified as 49\frac{4}{9}, we can express this in words as "four ninths."

Therefore, the solution to the problem is four ninths.

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Final Answer

Four ninths

Key Points to Remember

Essential concepts to master this topic
  • Grid Analysis: Count total sections for denominator, shaded sections for numerator
  • Technique: In 3×3 grid with 4 shaded parts, write as 49 \frac{4}{9}
  • Check: Verify by counting: 4 shaded out of 9 total equals four ninths ✓

Common Mistakes

Avoid these frequent errors
  • Miscounting grid sections or confusing numerator with denominator
    Don't rush and count incorrectly or write shaded parts as denominator = wrong fraction like 94 \frac{9}{4} ! This flips the fraction completely. Always count total sections first (denominator), then shaded sections (numerator).

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

How do I know which number goes on top and which goes on bottom?

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Remember: the denominator (bottom number) is always the total number of equal parts in the whole. The numerator (top number) is how many parts are shaded or selected.

What if the grid isn't perfectly square like 3×3?

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The same rules apply! Whether it's 2×4, 3×5, or any rectangle, just multiply the rows by columns to get total sections, then count the shaded ones.

Do I need to simplify the fraction before writing it in words?

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For this type of problem, you typically write the fraction exactly as shown in the grid. So 49 \frac{4}{9} stays as four ninths, not simplified.

What's the difference between 'four ninths' and 'four out of nine'?

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Both mean the same thing mathematically! 'Four ninths' is the formal fraction name, while 'four out of nine' is more conversational. For math class, use 'four ninths'.

How do I write fraction words for numbers like 21 or 23?

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For denominators ending in 1, 2, or 3 (except 11, 12, 13), add 'st', 'nd', or 'rd': twenty-first, twenty-second, twenty-third. For others, add 'th': twenty-fourth.

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