3. A teacher has 36 pencils to share equally. If there are 12 learners, what fraction of the pencils will each get? How many pencils will each get?

To solve this problem, we'll determine both the fraction of pencils each learner receives and the exact number of pencils per learner. **Given:** - **Total pencils:** 36 - **Number of learners:** 12 --- ### 1. **Fraction of Pencils per Learner** To find the fraction of pencils each learner receives: \[ \text{Fraction per learner} = \frac{\text{Number of pencils per learner}}{\text{Total pencils}} \] First, determine how many pencils each learner gets (we'll calculate this in the next section), then divide by the total number of pencils. ### 2. **Number of Pencils per Learner** To find the number of pencils each learner receives when sharing equally: \[ \text{Pencils per learner} = \frac{\text{Total pencils}}{\text{Number of learners}} = \frac{36}{12} = 3 \] So, each learner gets **3 pencils**. --- ### 3. **Calculating the Fraction** Now, plug the number of pencils per learner into the fraction formula: \[ \text{Fraction per learner} = \frac{3}{36} = \frac{1}{12} \] Each learner receives **\(\frac{1}{12}\)** of the total pencils. --- ### **Summary:** - **Fraction of pencils each learner receives:** \(\frac{1}{12}\) - **Number of pencils each learner receives:** **3 pencils**