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If a city council has 12 members and 4 are from the ruling party, what fraction

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Question: If a city council has 12 members and 4 are from the ruling party, what fraction of the council members are from the ruling party?

Options:

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

Correct Answer: 1/3

Solution:

4 members from the ruling party out of 12 total members is 4/12, which simplifies to 1/3.

If a city council has 12 members and 4 are from the ruling party, what fraction

Practice Questions

Q1
If a city council has 12 members and 4 are from the ruling party, what fraction of the council members are from the ruling party?
  1. 1/3
  2. 1/4
  3. 1/2
  4. 1/6

Questions & Step-by-Step Solutions

If a city council has 12 members and 4 are from the ruling party, what fraction of the council members are from the ruling party?
  • Step 1: Identify the total number of city council members. In this case, there are 12 members.
  • Step 2: Identify how many of those members are from the ruling party. Here, there are 4 members from the ruling party.
  • Step 3: Write the fraction of members from the ruling party. This is done by placing the number of ruling party members (4) over the total number of members (12), which gives us 4/12.
  • Step 4: Simplify the fraction 4/12. To do this, divide both the top (numerator) and bottom (denominator) by their greatest common divisor, which is 4. This gives us 1/3.
  • Step 5: Conclude that 1/3 of the city council members are from the ruling party.
  • Fraction Calculation – Understanding how to express a part of a whole as a fraction.
  • Simplification of Fractions – Knowing how to simplify fractions to their lowest terms.
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