Step-by-step explanation:DEFINITION and example of fraction A fraction is a number which represents a part of a whole. Example 511This is read as five – elevenths. 511 means 5 parts are taken from equally divided 11 parts of whole. In the fraction 511, 5 is called numerator and 11 is called denominator. Note Fractions are always positive, that means numerator and denominator are positive integers. What are various TYPES of fraction? Unit fraction A fraction whose numerator is one and denominator is always a positive integer is called a Unit fraction. Example 14, 17, 161 etc. Like fractions The fractions which have same denominator are called Like fractions. Example 19, 29, 79 etc. Unlike fractions The fractions which have different denominator are called Unlike fractions. Example 79, 14, 611, 58 etc. Equivalent fractions The two or more than two fractions are said to be equivalent when multiplying the numerator and denominator by a same non zero positive number results to the original fraction. Example Let’s take an example of 13 and 39. Multiply both numerator and denominator by 1: 13×11=13 Multiply both numerator and denominator by 2: 13×22=26 Multiply both numerator and denominator by 3: 13×33=39 Here 13 becomes equal to 39 when multiplied by 3. Hence, 13 and 39 are equivalent fractions. Simple fraction A fraction whose both terms are integers is called a simple fraction. Example 47, −35 etc. Complex fraction A fraction whose one or both terms are fractional numbers is called complex fraction Example 257, 7567 etc. Decimal fraction Fractions whose denominators are 10, 100, 1000 etc. are decimal fractions. Example 310, 111000 etc. Vulgar fraction Fractions whose denominators are not 10, 100, 1000 etc. are called vulgar fractions. Example 15, 715 etc. Proper fraction A fraction whose numerator is positive and also less than its denominator is called proper fraction. Example 712, 1921 etc. Improper fraction A fraction whose numerator is greater than its denominator is called improper fraction. Example 115, 8521 etc. Mixed fraction A fraction which is expressed as combination of integer and a proper fraction is called mixed fraction. Example 235here 2 represents integer part and 35 represents proper fraction.