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a) A bag contains red counters and blue counters only. number of red counters : number of blue counters=3:4 Write down the fraction of the counters that are red.

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a) A bag contains red counters and blue counters only.
number of red counters : number of blue counters=3:4
Write down the fraction of the counters that are red.

a) A bag contains red counters and blue counters only. number of red counters : number of blue counters=3:4 Write down the fraction of the counters that are red.

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OliviaElite · Tutor for 8 years

Answer

\(\frac{3}{7}\)

Explain

## Step 1:<br />The first step is to understand the problem. We are given a ratio of red counters to blue counters as 3:4. This means for every 3 red counters, there are 4 blue counters.<br /><br />## Step 2:<br />To find the fraction of counters that are red, we need to divide the number of red counters by the total number of counters. <br /><br />## Step 3:<br />The total number of counters is the sum of the red counters and the blue counters. In this case, it is 3 (red) + 4 (blue) = 7.<br /><br />## Step 4:<br />The fraction of red counters is therefore the number of red counters divided by the total number of counters. <br /><br />### \(\frac{number\ of\ red\ counters}{total\ number\ of\ counters} = \frac{3}{7}\)
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