Absolutely, let's reduce each of the given fractions to their lowest terms.
### Part a: [tex]\(\frac{91}{338}\)[/tex]
To reduce the fraction [tex]\(\frac{91}{338}\)[/tex] to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator (91) and the denominator (338).
Upon simplifying, we find that the GCD of 91 and 338 is 13. Therefore, we divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{91 \div 13}{338 \div 13} = \frac{7}{26}
\][/tex]
Hence, [tex]\(\frac{91}{338}\)[/tex] reduces to [tex]\(\frac{7}{26}\)[/tex] in its lowest terms.
### Part b: [tex]\(\frac{153}{867}\)[/tex]
To reduce the fraction [tex]\(\frac{153}{867}\)[/tex] to its lowest terms, we again need to find the GCD of the numerator (153) and the denominator (867).
Upon simplifying, we find that the GCD of 153 and 867 is 51. Therefore, we divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{153 \div 51}{867 \div 51} = \frac{3}{17}
\][/tex]
As a result, [tex]\(\frac{153}{867}\)[/tex] reduces to [tex]\(\frac{3}{17}\)[/tex] in its lowest terms.
So, the reduced fractions are:
- [tex]\(\frac{91}{338} = \frac{7}{26}\)[/tex]
- [tex]\(\frac{153}{867} = \frac{3}{17}\)[/tex]
