Fractiondecimal intuition problems (examples)  4th grade  Khan Academy  Summary and Q&A
TL;DR
Learn how to express shaded areas on a grid as both fractions and decimals.
Key Insights
 ❓ Grids can be used to represent shaded areas as fractions and decimals.
 #️⃣ The numerator of the fraction represents the number of shaded sections, while the denominator represents the total number of sections.
 🥇 The decimal representation of a shaded area is determined by the count of shaded sections in the corresponding place value.
 ❓ Understanding fractions and decimals is essential for mathematical calculations and measurements.
 🇦🇪 Different grids can have different units, such as tenths or hundredths.
 😑 Shaded areas can be expressed as both fractions and decimals, providing flexibility in representation.
 🥇 Counting shaded sections helps determine the numerator in the fraction and the decimal place in the decimal representation.
Transcript
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Questions & Answers
Q: How can you express a shaded area on a grid as a fraction?
To express a shaded area on a grid as a fraction, count the shaded sections and write it as a numerator over the total number of sections as the denominator. For example, if there are 6 shaded sections out of 10, the fraction would be 6/10.
Q: How can you express a shaded area on a grid as a decimal?
To express a shaded area on a grid as a decimal, count the shaded sections and place the count in the decimal place value corresponding to its unit. For example, if there are 6 shaded sections out of 10, the decimal representation would be 0.6.
Q: What does each section of the grid represent?
Each section of the grid represents a fraction of the whole. Depending on the grid, it could represent tenths, hundredths, or any other unit.
Q: How can you determine the fraction and decimal for a shaded area on a grid with 100 sections?
Count the shaded sections and write the count as a fraction with 100 as the denominator. For example, if there are 21 shaded sections, the fraction would be 21/100. The decimal representation would be 0.21.
Summary & Key Takeaways

The video explains how to express shaded areas on a grid as fractions and decimals.

The first example showcases a grid with 10 equal sections, with 6 out of 10 sections shaded, represented as 6/10 or 0.6.

The second example features a grid with 100 equal sections, with 5 out of 100 sections shaded, represented as 5/100 or 0.05.