Answer :

To reduce fractions to their lowest terms, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). Let's do this for each fraction one by one:

  1. [tex]\frac{14}{18}[/tex]

    • First, find the GCD of 14 and 18. The factors of 14 are 1, 2, 7, 14, and the factors of 18 are 1, 2, 3, 6, 9, 18.
    • The greatest common factor they share is 2.
    • Divide both the numerator and the denominator by 2:
      [tex]\frac{14}{18} = \frac{14 \div 2}{18 \div 2} = \frac{7}{9}[/tex]
    • So, [tex]\frac{14}{18}[/tex] reduces to [tex]\frac{7}{9}[/tex].

  2. [tex]\frac{45}{60}[/tex]

    • Find the GCD of 45 and 60. The factors of 45 are 1, 3, 5, 9, 15, 45, and the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
    • The greatest common factor is 15.
    • Divide both by 15:
      [tex]\frac{45}{60} = \frac{45 \div 15}{60 \div 15} = \frac{3}{4}[/tex]
    • Thus, [tex]\frac{45}{60}[/tex] reduces to [tex]\frac{3}{4}[/tex].

  3. [tex]\frac{175}{75}[/tex]

    • For 175 and 75, find the GCD. The factors of 175 are 1, 5, 7, 25, 35, 175, and the factors of 75 are 1, 3, 5, 15, 25, 75.
    • Their greatest common factor is 25.
    • Divide both by 25:
      [tex]\frac{175}{75} = \frac{175 \div 25}{75 \div 25} = \frac{7}{3}[/tex]
    • Therefore, [tex]\frac{175}{75}[/tex] reduces to [tex]\frac{7}{3}[/tex].

Reducing fractions helps make calculations easier and more manageable, presenting the fractions in their simplest form.

Thanks for taking the time to read Reduce the following fractions to their lowest terms 1 frac 14 18 2 frac 45 60 3 frac 175 75. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada