Let's simplify the given fractions step by step:
### Part (a)
We need to simplify the fraction [tex]\(\frac{14}{28}\)[/tex].
1. Identify the common factors:
- The numerator is 14.
- The denominator is 28.
- The greatest common divisor (GCD) of 14 and 28 is 14.
2. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{14 \div 14}{28 \div 14} = \frac{1}{2}
\][/tex]
So, the simplified form of [tex]\(\frac{14}{28}\)[/tex] is [tex]\(\frac{1}{2}\)[/tex].
### Part (b)
We need to simplify the fraction [tex]\(\frac{125}{1000}\)[/tex].
1. Identify the common factors:
- The numerator is 125.
- The denominator is 1000.
- The greatest common divisor (GCD) of 125 and 1000 is 125.
2. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}
\][/tex]
So, the simplified form of [tex]\(\frac{125}{1000}\)[/tex] is [tex]\(\frac{1}{8}\)[/tex].
### Summary
- The fraction [tex]\(\frac{14}{28}\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
- The fraction [tex]\(\frac{125}{1000}\)[/tex] simplifies to [tex]\(\frac{1}{8}\)[/tex].
