which of the following fractions is equal to 7/9 is it: 49/63, 28/45, 14/20, 35/42 

To determine which of the given fractions is equal to \( \frac{7}{9} \), we can simplify each fraction to its simplest form and compare it to \( \frac{7}{9} \).

1. Simplify \( \frac{49}{63} \):
   \[
   \frac{49}{63} = \frac{49 \div 7}{63 \div 7} = \frac{7}{9}
   \]
   So, \( \frac{49}{63} = \frac{7}{9} \).

2. Simplify \( \frac{28}{45} \):
   \[
   \frac{28}{45} \text{ is already in its simplest form and does not equal } \frac{7}{9}.
   \]

3. Simplify \( \frac{14}{20} \):
   \[
   \frac{14}{20} = \frac{14 \div 2}{20 \div 2} = \frac{7}{10}
   \]
   So, \( \frac{14}{20} \neq \frac{7}{9} \).

4. Simplify \( \frac{35}{42} \):
   \[
   \frac{35}{42} = \frac{35 \div 7}{42 \div 7} = \frac{5}{6}
   \]
   So, \( \frac{35}{42} \neq \frac{7}{9} \).

Thus, the fraction that is equal to \( \frac{7}{9} \) is \( \frac{49}{63} \).

Would you like more details or have any questions?

Here are 5 questions you might ask next:
1. How do you simplify fractions to their simplest form?
2. Can you explain how to compare fractions with different denominators?
3. What are the steps to convert a fraction to a decimal?
4. How do you find the least common denominator of two fractions?
5. Can you show how to add or subtract fractions?

Tip: Always simplify fractions by finding the greatest common divisor (GCD) of the numerator and denominator.

Discover how to determine which of the fractions 49/63, 28/45, 14/20, and 35/42 equals 7/9. This guide includes detailed simplification steps and explanations, perfect for students in Grades 5-7.

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