Answer :
To solve the problem [tex]\(\frac{14}{15} - \frac{8}{15}\)[/tex], we follow these steps:
1. Identify the Fractions: We have the fractions [tex]\(\frac{14}{15}\)[/tex] and [tex]\(\frac{8}{15}\)[/tex].
2. Check the Denominators: Both fractions have the same denominator, which means they are easy to subtract because they share a common denominator of 15.
3. Subtract the Numerators: Since the denominators are the same, we only need to subtract the numerators:
[tex]\[
14 - 8 = 6
\][/tex]
4. Form the New Fraction: The result of the subtraction gives us a new numerator, so the fraction becomes [tex]\(\frac{6}{15}\)[/tex].
5. Simplify the Fraction: To simplify [tex]\(\frac{6}{15}\)[/tex], we look for the greatest common divisor (GCD) of 6 and 15.
The GCD of 6 and 15 is 3.
6. Divide Both the Numerator and the Denominator by Their GCD:
[tex]\[
\frac{6 \div 3}{15 \div 3} = \frac{2}{5}
\][/tex]
Therefore, the simplified answer is [tex]\(\frac{2}{5}\)[/tex].
1. Identify the Fractions: We have the fractions [tex]\(\frac{14}{15}\)[/tex] and [tex]\(\frac{8}{15}\)[/tex].
2. Check the Denominators: Both fractions have the same denominator, which means they are easy to subtract because they share a common denominator of 15.
3. Subtract the Numerators: Since the denominators are the same, we only need to subtract the numerators:
[tex]\[
14 - 8 = 6
\][/tex]
4. Form the New Fraction: The result of the subtraction gives us a new numerator, so the fraction becomes [tex]\(\frac{6}{15}\)[/tex].
5. Simplify the Fraction: To simplify [tex]\(\frac{6}{15}\)[/tex], we look for the greatest common divisor (GCD) of 6 and 15.
The GCD of 6 and 15 is 3.
6. Divide Both the Numerator and the Denominator by Their GCD:
[tex]\[
\frac{6 \div 3}{15 \div 3} = \frac{2}{5}
\][/tex]
Therefore, the simplified answer is [tex]\(\frac{2}{5}\)[/tex].
