Solution:

To find the equivalent fraction of 5/12 with a denominator of 84, we need to multiply both the numerator and the denominator by the same number so that the denominator becomes 84.

Step 1: Find the common factor between the current denominator (12) and the desired denominator (84).
- The common factor between 12 and 84 is 12.

Step 2: Divide the desired denominator (84) by the common factor (12) to find the multiplier.
- 84 ÷ 12 = 7

Step 3: Multiply both the numerator and the denominator of the given fraction by the multiplier.
- Numerator: 5 × 7 = 35
- Denominator: 12 × 7 = 84

Therefore, the equivalent fraction of 5/12 with a denominator of 84 is 35/84.

Explanation:

- Fractions represent parts of a whole. They can be equivalent to each other if their values are the same. To find an equivalent fraction, we can multiply or divide the numerator and denominator by the same number.
- In this question, we are given the fraction 5/12 and asked to find an equivalent fraction with a denominator of 84.
- To achieve this, we need to find the multiplier that will make the current denominator (12) equal to the desired denominator (84).
- The common factor between 12 and 84 is 12. Dividing 84 by 12 gives us a multiplier of 7.
- By multiplying both the numerator and denominator of the given fraction by 7, we get the equivalent fraction 35/84.
- This means that 35 out of 84 parts is the same as 5 out of 12 parts.
- The correct answer is option 'B' - 35/84.