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If a box contains 10 red balls and 5 blue balls, what fraction of the balls are

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Question: If a box contains 10 red balls and 5 blue balls, what fraction of the balls are blue?

Options:

  1. 1/3
  2. 1/2
  3. 1/5
  4. 1/6

Correct Answer: 1/3

Solution:

There are 5 blue balls out of a total of 15 balls, so the fraction is 5/15, which simplifies to 1/3.

If a box contains 10 red balls and 5 blue balls, what fraction of the balls are

Practice Questions

Q1
If a box contains 10 red balls and 5 blue balls, what fraction of the balls are blue?
  1. 1/3
  2. 1/2
  3. 1/5
  4. 1/6

Questions & Step-by-Step Solutions

If a box contains 10 red balls and 5 blue balls, what fraction of the balls are blue?
  • Step 1: Count the number of blue balls in the box. There are 5 blue balls.
  • Step 2: Count the total number of balls in the box. There are 10 red balls and 5 blue balls, so 10 + 5 = 15 total balls.
  • Step 3: Write the fraction of blue balls. The fraction is 5 (blue balls) out of 15 (total balls), so it is 5/15.
  • Step 4: Simplify the fraction 5/15. Both 5 and 15 can be divided by 5, which gives us 1/3.
  • Fraction Calculation – Understanding how to calculate the fraction of a subset (blue balls) relative to the total (all balls).
  • Simplification of Fractions – Knowing how to simplify fractions to their lowest terms.
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