Examples with solutions for Part of an Amount: Matching description to fraction

Exercise #1

Match the following description with the corresponding fraction:

10 tickets are distributed equally among 9 couples.

Step-by-Step Solution

We need to understand that every fraction is actually a division exercise,

so when we divide 10 tickets among 9 people,

we are dividing 10 by 9

that is 10:9

The division exercise can also be written as a fraction

and that's the solution!

Answer

109 \frac{10}{9}

Exercise #2

Choose the fraction that corresponds to the following description:

11 shirts are shared equally between 8 players.

Step-by-Step Solution

To find the fraction that corresponds to the description of 11 shirts being shared equally among 8 players, we perform the following steps:

  • Step 1: Identify the total number of shirts. Here, this number is 11.
  • Step 2: Identify the total number of players. Here, this number is 8.
  • Step 3: Set up the fraction 118\frac{11}{8} where 11 is the number of shirts and 8 is the number of players.

This fraction 118\frac{11}{8} represents how shirts are distributed among players, meaning each player receives 118 \frac{11}{8} of a shirt.

Therefore, the correct answer to the problem is 118 \frac{11}{8} , which corresponds to choice 3.

Answer

118 \frac{11}{8}

Exercise #3

Match the following description with the corresponding fraction:

3 apples are distributed equally among two children.

Step-by-Step Solution

Let's solve the problem step by step:

We are given 3 apples that need to be distributed equally among 2 children. This requires calculating how many apples each child receives, expressed as a fraction.

  • Step 1: Identify how to divide the apples. We want each child to receive an equal share of the 3 apples. This implies a division problem: 3÷23 \div 2.
  • Step 2: Set up the division as a fraction. When you divide 3 apples among 2 children equally, you are determining 32\frac{3}{2}.
  • Step 3: Express the result as a fraction. Each child receives 32\frac{3}{2} apples.

Thus, when 3 apples are divided equally among 2 children, the result is represented by the fraction 32 \frac{3}{2} .

This matches with the correct choice provided, which is choice 4: 32 \frac{3}{2} .

Therefore, the solution to the problem is 32 \frac{3}{2} .

Answer

32 \frac{3}{2}