What are the equivalent fractions of 7/9?
Understand the Problem
The question is asking for fractions that are equivalent to 7/9. This involves finding other fractions that have the same value as 7/9 by multiplying both the numerator and denominator by the same number.
Answer
The equivalent fractions are $ \frac{14}{18} $, $ \frac{21}{27} $, and $ \frac{28}{36} $.
Answer for screen readers
The fractions equivalent to $ \frac{7}{9} $ include $ \frac{14}{18} $, $ \frac{21}{27} $, and $ \frac{28}{36} $.
Steps to Solve
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Identify the fractional form The original fraction is $ \frac{7}{9} $.
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Choose a multiplier Select a whole number to multiply both the numerator and denominator. For example, let’s use 2.
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Multiply the numerator and denominator Now, multiply the numerator and denominator by the chosen whole number: $$ \frac{7 \times 2}{9 \times 2} = \frac{14}{18} $$
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Repeat the process You can repeat this process with different multipliers, such as 3, 4, 5, etc.
For multiplier 3: $$ \frac{7 \times 3}{9 \times 3} = \frac{21}{27} $$
For multiplier 4: $$ \frac{7 \times 4}{9 \times 4} = \frac{28}{36} $$
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List the equivalent fractions Now you can list the equivalent fractions that you calculated.
- $ \frac{14}{18} $
- $ \frac{21}{27} $
- $ \frac{28}{36} $
The fractions equivalent to $ \frac{7}{9} $ include $ \frac{14}{18} $, $ \frac{21}{27} $, and $ \frac{28}{36} $.
More Information
Finding equivalent fractions helps us understand the concept of ratios and proportionality in mathematics. This skill is useful in various fields, such as cooking, science, and finance, where you may need to adjust amounts while keeping proportions the same.
Tips
- A common mistake is forgetting to multiply both the numerator and denominator by the same number, which will result in a different fraction. Always ensure both parts of the fraction are multiplied by the same factor.
