Answer :

To solve [tex]\(\frac{14}{15} - \frac{1}{3}\)[/tex], we need to perform fraction subtraction. Let's go through the steps:

1. Find a Common Denominator:
- The denominators are 15 and 3. The least common denominator (LCD) for these fractions is 15.

2. Convert to Equivalent Fractions:
- The fraction [tex]\(\frac{14}{15}\)[/tex] already has the common denominator of 15.
- For [tex]\(\frac{1}{3}\)[/tex], convert it to have the denominator of 15 by multiplying both the numerator and denominator by 5:
[tex]\[
\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
\][/tex]

3. Subtract the Fractions:
- Now, subtract [tex]\(\frac{5}{15}\)[/tex] from [tex]\(\frac{14}{15}\)[/tex]:
[tex]\[
\frac{14}{15} - \frac{5}{15} = \frac{14 - 5}{15} = \frac{9}{15}
\][/tex]

4. Simplify the Result:
- Simplify [tex]\(\frac{9}{15}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[
\frac{9}{15} = \frac{9 \div 3}{15 \div 3} = \frac{3}{5}
\][/tex]

5. Convert to Decimal:
- Finally, convert the fraction [tex]\(\frac{3}{5}\)[/tex] to a decimal by dividing the numerator by the denominator:
[tex]\[
\frac{3}{5} = 0.6
\][/tex]

So, [tex]\(\frac{14}{15} - \frac{1}{3} = 0.6\)[/tex].

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