Question

Describe Integers And Fractions

Answer 1

Integers: Integers are denoted without any fractional component. They are denoted by set symbol $$Z$$ as follows:
$$Z=\{...,-2,-1,0,1,2,...\}$$
These numbers are used in addition, subtraction, multiplication, and division, among other arithmetic operations. Three types of integers are:
Zero
Positive Integers (Natural Numbers)
Negative Integers ( Natural Numbers with minus sign)

Fractions: Fractions contains a numerator at the top and denominator at the bottom. The numerator and denominator are separated by horizontal lines. for example.,$${\displaystyle \frac{3}{4}}$$is a fraction with $$3$$ as a numerator and $$4$$ as a denominator.

There are six types of fractions-
Proper Fraction: When the numerator is less than the denominator for example,$${\displaystyle \frac{6}{7}}$$.
Improper Fraction: When the numerator is more than the denominator for example.,$${\displaystyle \frac{7}{6}}$$.
Mixed Fraction: It contains a quotient and a remainder forexample.,$$5{\displaystyle \frac{1}{4}}$$.
Like Fraction: Here two fractions have a common denominator for example.,$${\displaystyle \frac{10}{3}}$$and$${\displaystyle \frac{7}{3}}$$.
Unlike Fraction: Here two fractions have different denominators for example.,$${\displaystyle \frac{10}{3}}$$and$${\displaystyle \frac{7}{4}}$$.
Equivalent Fraction: They are different fraction having different numerator and denominator but represents same part of the whole

For example, $${\displaystyle \frac{3}{6}}$$and$${\displaystyle \frac{5}{10}}$$both will be equivalent to$${\displaystyle \frac{1}{2}}$$.