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To reduce a fraction to its lowest terms, we need to identify the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that evenly divides both numbers. For instance, in the fraction \(\frac{90}{150}\), the GCD of 90 and 150 is 30.
To find the GCD, you can list the factors of both numbers and choose the greatest one that appears in both lists. Another method is the Euclidean algorithm, which involves repeated division.
Identifying the GCD simplifies the process as it shows us the common factor to reduce the fraction.

A fraction consists of two main parts: the numerator and the denominator. The numerator is the number above the fraction line, while the denominator is the number below it. In our example, \(\frac{90}{150}\), 90 is the numerator, and 150 is the denominator.
Understanding the roles of the numerator and the denominator is crucial because when reducing fractions, we divide both by the same number (the GCD) to keep the fraction equivalent to its original form. Properly identifying and working with the numerator and denominator ensures the fraction's value remains consistent during the reduction.

Writing a fraction in its lowest terms involves simplifying it so that the numerator and denominator are as small as possible while maintaining the same value. This process makes the fraction easier to understand and work with.
To reduce a fraction to its lowest terms, you divide both the numerator and the denominator by their greatest common divisor (GCD). For example, in \(\frac{90}{150}\), the GCD is 30. Dividing 90 and 150 by 30 yields 3 and 5, respectively. Hence, \(\frac{90}{150} = \frac{3}{5}\). This is the fraction in its lowest terms.
Reducing fractions is helpful in both basic arithmetic and more complex math problems. It simplifies calculations and provides a clearer understanding of the proportion represented by the fraction.