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Q:

# How do you find the nth term of fractions?

A:

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."

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1. Find the pattern in the numerator

First 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.

2. Find the pattern in the denominator

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.

3. Write the general expression

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).

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## Related Questions

• A:

A unit fraction is a fraction where the top number, known as the numerator, is one, and the bottom number, known as the denominator, is any positive number. Additionally, the denominator must be an integer, or round number.

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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.

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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.