To find the nth term of a fraction, find the pattern in the first few terms of the sequence for the numerator and denominator. Then write a general expression for the sequence of fractions in terms of the variable "n."
Know MoreFirst find the pattern in the numerators of the fraction sequence. It is helpful to make a chart. For example, in the fraction sequence 2/3, 3/5, 4/7, 5/9, the numerator starts with 2 and then increases by 1 each time.
Use the same process to find the pattern for the denominator. To continue the example, the denominators start with 3 and increase by 2 each time.
Write a general expression for the fraction sequence that shows the pattern, using "n" as the variable. The example numerator sequence is n +1. The denominator sequence is 2n + 1. Thus, the entire general expression is (n + 1) / (2n + 1).
To simplify a fraction, determine the greatest common factor, and then divide it into both the numerator and the denominator. The greatest common factor is the largest number that divides evenly into both numbers in the fraction.
Full Answer >To turn a fraction into a mixed number, you must divide the fraction's numerator by its denominator. Use the number of times the denominator goes into the numerator to represent the whole number, and then use the remaining number to represent the new numerator.
Full Answer >To write a decimal as a fraction, first write a fraction with the decimal as the numerator and the integer one as the denominator. Then perform a mathematical operation on the fraction to get rid of the decimal point and simplify the fraction.
Full Answer >A fraction can be converted to its equivalent decimal by dividing its numerator by its denominator. For example, the fraction 3/4 can be converted to a decimal by dividing its numerator (3) by its denominator (4), which results in 0.75, its equivalent decimal. The fraction 5/8 can be similarly converted to a decimal by dividing 5 by 8, which results in 0.625.
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