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

To determine which fraction is equal to \( \frac{7}{9} \), we can simplify each given fraction and see if it matches \( \frac{7}{9} \).

1. \( \frac{49}{63} \):
   Simplify \( \frac{49}{63} \) by finding the greatest common divisor (GCD) of 49 and 63.
   \[
   \text{GCD of 49 and 63 is 7}
   \]
   \[
   \frac{49 \div 7}{63 \div 7} = \frac{7}{9}
   \]
   So, \( \frac{49}{63} = \frac{7}{9} \).

2. \( \frac{28}{45} \):
   Simplify \( \frac{28}{45} \):
   \[
   \text{GCD of 28 and 45 is 1}
   \]
   Since there is no common factor other than 1, \( \frac{28}{45} \) cannot be simplified further.
   \[
   \frac{28}{45} \neq \frac{7}{9}
   \]

3. \( \frac{14}{20} \):
   Simplify \( \frac{14}{20} \) by finding the greatest common divisor (GCD) of 14 and 20.
   \[
   \text{GCD of 14 and 20 is 2}
   \]
   \[
   \frac{14 \div 2}{20 \div 2} = \frac{7}{10}
   \]
   So, \( \frac{14}{20} = \frac{7}{10} \), which is not equal to \( \frac{7}{9} \).

4. \( \frac{35}{42} \):
   Simplify \( \frac{35}{42} \) by finding the greatest common divisor (GCD) of 35 and 42.
   \[
   \text{GCD of 35 and 42 is 7}
   \]
   \[
   \frac{35 \div 7}{42 \div 7} = \frac{5}{6}
   \]
   So, \( \frac{35}{42} = \frac{5}{6} \), which is not equal to \( \frac{7}{9} \).

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

Would you like further details or have any questions?

Here are 5 numbered questions for you to consider:
1. How do you simplify a fraction?
2. What is the greatest common divisor (GCD)?
3. Can you provide examples of equivalent fractions?
4. How do you convert fractions to decimals?
5. What are some real-life applications of fractions?

**Tip:** When simplifying fractions, always look for the greatest common divisor (GCD) of the numerator and the denominator to ensure the fraction is in its simplest form.

Discover which fraction among 49/63, 28/45, 14/20, and 35/42 is equivalent to 7/9 through simplification and comparison. Learn about fractions, GCD, and equivalent fractions in this educational math problem.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation