Calculate 1/4 of 28: Finding Orange Balls in a Box

Fraction Operations with Real-World Applications

In a box there are 28 balls, 14 \frac{1}{4} of which are orange.

How many orange balls are there in the box in total?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 How many strawberry-flavored candies are there?
00:03 Multiply the total amount by the relative portion that is strawberry flavored
00:12 Break it down into factors and reduce wherever possible
00:31 That's the solution

Step-by-step written solution

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1

Understand the problem

In a box there are 28 balls, 14 \frac{1}{4} of which are orange.

How many orange balls are there in the box in total?

2

Step-by-step solution

To solve this problem, we'll determine the number of orange balls by calculating the fraction of the total number of balls:

  • Step 1: Identify the total number of balls, 28 28 .
  • Step 2: Note the fraction representing the orange balls, 14 \frac{1}{4} .
  • Step 3: Apply the formula to find the number of orange balls:
    Number of orange balls =28×14 = 28 \times \frac{1}{4}

Now, let's perform the calculation:
28×14=28÷4=7 28 \times \frac{1}{4} = 28 \div 4 = 7

Therefore, the number of orange balls in the box is 7 7 .

3

Final Answer

7

Key Points to Remember

Essential concepts to master this topic
  • Rule: To find fraction of quantity, multiply fraction by whole number
  • Technique: Convert 14×28 \frac{1}{4} \times 28 to division: 28 ÷ 4 = 7
  • Check: Verify 7 is one-fourth of 28: 7 × 4 = 28 ✓

Common Mistakes

Avoid these frequent errors
  • Adding fraction to whole number instead of multiplying
    Don't add 14+28 \frac{1}{4} + 28 = 28.25 orange balls! This gives an impossible result greater than the total. Always multiply the fraction by the whole number to find 'part of' something.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

FAQ

Everything you need to know about this question

Why do we multiply instead of add when finding 'one-fourth of 28'?

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The word 'of' in math means multiplication! When you see 'fraction of a number,' you multiply them together. Adding would give you more than the original amount, which doesn't make sense.

How can I remember that 1/4 × 28 is the same as 28 ÷ 4?

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Think of it this way: dividing by 4 splits something into 4 equal parts, and taking 14 \frac{1}{4} means you want just 1 of those parts! Both operations give you the same result.

What if the division doesn't come out evenly?

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Sometimes you'll get a decimal or fraction answer, and that's okay! For example, 14 \frac{1}{4} of 29 would be 29 ÷ 4 = 7.25 balls. In real situations, you might need to round to whole numbers.

How do I check if my answer makes sense?

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Ask yourself: Is my answer less than the total? Since we're finding part of 28 balls, our answer should be smaller than 28. Also, multiply your answer by 4 to see if you get back to 28!

Can I solve this problem a different way?

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Yes! You could think of it as: 'If 28 balls are divided into 4 equal groups, how many are in each group?' This gives you 28 ÷ 4 = 7, the same answer!

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