Expressing Fraction In Lower Or Higher Terms
IntroductionExpressing fractions in lower terms is as simple as dividing the numerator and denominator by their greatest common factor. This is also known as reducing or simplifying the fraction. Similarly, expressing a fraction in higher terms simply means to multiply the numerator and denominator by the same number.
Reducing a fraction – in order to reduce a fraction to its lowest terms, we must find the greatest common factor for the numerator and denominator. If we are given , we see that the common factors of 15 and 30 are 3, 5 and 15, of which 15 is the greatest. So dividing
Therefore, can be reduced to .
Expressing a Fraction in Higher Terms – in order to express a fraction in higher terms, we must determine what the numerator (or denominator) should be multiplied by to get the given number, and then multiply the denominator (or numerator) by the same number. For example, if we are told to express with a denominator of 12, we know that in order for the denominator to equal 12, we have to multiply the original denominator by 4. So we multiply the numerator by 4 as well to get