Final answer:
To solve the mathematical problem, 3/5 was converted to an equivalent fraction with a denominator of 35, resulting in 21/35. Since 21/35 equals 21/35, the correct sign is the equals sign (=).
Step-by-step explanation:
The question asks which sign makes the following statement true: 3/5 _____ 21/35. To solve this mathematical problem completely, we need to compare the two fractions to determine if they are equal, or if one is greater than the other.
First, let's convert the fractions so that they have a common denominator. The least common denominator (LCD) for 5 and 35 is 35. Now, we multiply the numerator and denominator of 3/5 by 7 to get an equivalent fraction with a denominator of 35:
- 3/5 = (3 × 7) / (5 × 7) = 21/35
Now we have 21/35 and 21/35. Since both fractions are identical, the correct sign to make the statement true is the equals sign (=).
Therefore, 3/5 = 21/35.