Fraction Comparison: Identifying Areas Greater Than 3/5

Q: What if the colored parts aren't next to each other?

Add them together! Even if colored sections are separated, they still count toward the total. For example, 3 parts here + 1 part there = $ \frac{3}{5} + \frac{1}{5} = \frac{4}{5} $ total.

Q: How do I compare fractions with the same denominator?

When denominators are equal, just compare the numerators! Since $ \frac{4}{5} $ and $ \frac{3}{5} $ both have 5 in the denominator, compare 4 vs 3. Since 4 > 3, then $ \frac{4}{5} > \frac{3}{5} $.

Q: What if I can't see the visual clearly?

Look for the grid lines to count total sections, then count the shaded/colored areas. Each visual shows rectangles divided into 5 equal parts - count how many are colored in each option.

Q: Why is only the first choice correct?

Choice 1 shows $ \frac{4}{5} $ colored (3 parts + 1 part), which is greater than $ \frac{3}{5} $. The other choices show $ \frac{1}{5} $ or $ \frac{2}{5} $, both less than $ \frac{3}{5} $.

Q: Do I need to convert these fractions to decimals?

No! Since all fractions have the same denominator (5), you can directly compare the numerators. Converting to decimals works too, but it's extra work for this problem type.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Choose the shapes where the marked part is larger than the given fraction

00:04 In each shape, we'll count the colored amount and divide by the number of parts

00:12 We'll compare to the given fraction and choose the shapes that are larger than the fraction

00:18 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Choose the way in which the painted part is greater than $\frac{3}{5}$

2

Step-by-step solution

To solve this problem, we'll analyze each representation:

Step 1: Identify the divisions and colored sections in each representation.
Step 2: Convert the colored sections to fractions relative to the total divisions.
Step 3: Compare each fraction with $\frac{3}{5}$ .

Let's apply these steps:

Choice 1: The rectangle is divided into 5 parts with 3 parts colored on the left and 1 part colored on the right, so this represents $\frac{3}{5} + \frac{1}{5} = \frac{4}{5}$ . This is greater than $\frac{3}{5}$ .

Choice 2: The rectangle shows 1 part colored out of 5 total, $\frac{1}{5}$ , which is less than $\frac{3}{5}$ .

Choice 3: Similar to Choice 2, it shows 1 part colored out of 5 total, $\frac{1}{5}$ , which is also less than $\frac{3}{5}$ .

Choice 4: Two sections each representing $\frac{1}{5}$ , totaling $\frac{2}{5}$ , which is less than $\frac{3}{5}$ .

Therefore, the correct choice is Choice 1 where the painted part, $\frac{4}{5}$ , is greater than $\frac{3}{5}$ .

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Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Count colored parts and total parts to form fractions
Technique: Add separate colored sections: $\frac{3}{5} + \frac{1}{5} = \frac{4}{5}$
Check: Compare denominators when equal: $\frac{4}{5} > \frac{3}{5}$ since 4 > 3 ✓

Common Mistakes

Avoid these frequent errors

Counting only connected colored regions
Don't count $\frac{3}{5} + \frac{1}{5}$ as just $\frac{3}{5}$ = wrong total! This ignores separate colored sections and gives incomplete fractions. Always add all colored parts together, even if they're not touching.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

What if the colored parts aren't next to each other?

+

Add them together! Even if colored sections are separated, they still count toward the total. For example, 3 parts here + 1 part there = $\frac{3}{5} + \frac{1}{5} = \frac{4}{5}$ total.

How do I compare fractions with the same denominator?

+

When denominators are equal, just compare the numerators! Since $\frac{4}{5}$ and $\frac{3}{5}$ both have 5 in the denominator, compare 4 vs 3. Since 4 > 3, then $\frac{4}{5} > \frac{3}{5}$ .

What if I can't see the visual clearly?

+

Look for the grid lines to count total sections, then count the shaded/colored areas. Each visual shows rectangles divided into 5 equal parts - count how many are colored in each option.

Why is only the first choice correct?

+

Choice 1 shows $\frac{4}{5}$ colored (3 parts + 1 part), which is greater than $\frac{3}{5}$ . The other choices show $\frac{1}{5}$ or $\frac{2}{5}$ , both less than $\frac{3}{5}$ .

Do I need to convert these fractions to decimals?

+

No! Since all fractions have the same denominator (5), you can directly compare the numerators. Converting to decimals works too, but it's extra work for this problem type.

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Fraction Comparison: Identifying Areas Greater Than 3/5

Visual Fraction Comparison with Mixed Representations

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