Find the numerator of the equivalent fraction with denominator 75 .

Equivalent Fraction

Question

Find the numerator of the equivalent fraction with denominator 75 . $$ \frac{8}{15} $$ Equivalent Fraction

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To find an equivalent fraction to $$ \frac{8}{15} $$ with a denominator of 75, follow these steps:

1. **Understand Equivalent Fractions:**
   Two fractions are equivalent if they represent the same value, meaning the numerator and denominator are scaled by the same factor.

2. **Set Up the Proportion:**
   $$
   \frac{8}{15} = \frac{x}{75}
   $$
   Here, $$ x $$ is the numerator we need to find.

3. **Find the Scaling Factor:**
   Determine how much the denominator needs to be multiplied to reach 75 from 15.
   $$
   \text{Scaling Factor} = \frac{75}{15} = 5
   $$

4. **Apply the Scaling Factor to the Numerator:**
   Multiply the original numerator by the same scaling factor to maintain the equivalence.
   $$
   x = 8 \times 5 = 40
   $$

5. **Write the Equivalent Fraction:**
   $$
   \frac{8}{15} = \frac{40}{75}
   $$

**Answer:**  
The numerator of the equivalent fraction with denominator 75 is **40**.
The numerator of the equivalent fraction with denominator 75 is 40.

Find the numerator of the equivalent fraction with denominator 75 .

Equivalent Fraction

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Find the numerator of the equivalent fraction with denominator 75 . Equivalent Fraction

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Find the numerator of the equivalent fraction with denominator 75 .

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