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Answer :
To subtract the two fractions, we follow these steps:
1. Identify the denominators, which are 15 and 9. The least common denominator (LCD) for these is 45.
2. Convert each fraction to an equivalent fraction with denominator 45:
- For [tex]$\frac{14}{15}$[/tex], multiply numerator and denominator by 3:
[tex]$$\frac{14}{15} = \frac{14 \times 3}{15 \times 3} = \frac{42}{45}.$$[/tex]
- For [tex]$\frac{7}{9}$[/tex], multiply numerator and denominator by 5:
[tex]$$\frac{7}{9} = \frac{7 \times 5}{9 \times 5} = \frac{35}{45}.$$[/tex]
3. Subtract the second fraction from the first:
[tex]$$\frac{42}{45} - \frac{35}{45} = \frac{42 - 35}{45} = \frac{7}{45}.$$[/tex]
So, the final answer is:
[tex]$$\frac{7}{45}.$$[/tex]
1. Identify the denominators, which are 15 and 9. The least common denominator (LCD) for these is 45.
2. Convert each fraction to an equivalent fraction with denominator 45:
- For [tex]$\frac{14}{15}$[/tex], multiply numerator and denominator by 3:
[tex]$$\frac{14}{15} = \frac{14 \times 3}{15 \times 3} = \frac{42}{45}.$$[/tex]
- For [tex]$\frac{7}{9}$[/tex], multiply numerator and denominator by 5:
[tex]$$\frac{7}{9} = \frac{7 \times 5}{9 \times 5} = \frac{35}{45}.$$[/tex]
3. Subtract the second fraction from the first:
[tex]$$\frac{42}{45} - \frac{35}{45} = \frac{42 - 35}{45} = \frac{7}{45}.$$[/tex]
So, the final answer is:
[tex]$$\frac{7}{45}.$$[/tex]
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