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### Fractions And Decimals

• 1. Introduction Name :- Ayush Shukla Class :- 7th Subject :- Mathematics School Name :- Heritage Public School
• 3. Fractions A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight- fifths, three-quarters . A fraction consists of a numerator displayed above a line , and a non-zero denominator, displayed below that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals. In positive common fractions, the numerator and denominator are natural numbers. The numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. The denominator cannot be zero, because zero parts can never make up a whole. For example, in the fraction 3⁄4, the numerator 3 tells us that the fraction represents 3 equal parts, and the denominator 4 tells us that 4 parts make up a whole.
• 4. Types of fractions i. Proper fraction ii. Improper fraction iii. Like fraction iv. Unlike fraction v. Mixed fraction
• 5. Proper fractions  a fraction that is less than one, with the numerator less than the denominator.
• 6. Improper Fraction  a fraction in which the numerator is greater than the denominator, such as 5/4.
• 7. Difference between Proper and Improper fraction Proper fraction  a fraction that is less than one, with the numerator less than the denominator. Improper fraction  a fraction in which the numerator is greater than the denominator, such as 5/4.
• 8. Like fraction  The group of two or more fractions that have exactly the same denominator are called like fractions. Or we can say that the fractions which have the same numbers in the denominators are called like fractions.  For example, 1/7, 2/7, 5/7, 6/7 are all like fractions, whose denominators equal to 7.
• 9. Unlike fraction  Fractions with different denominators are called the unlike fractions. Here the denominators of fractions have different values.  For example, 2/3, 4/9, 6/67, 9/89 are unlike fractions.
• 10. Difference between Like and Unlike fractions Like Fraction  The group of two or more fractions that have exactly the same denominator are called like fractions. Or we can say that the fractions which have the same numbers in the denominators are called like fractions. Unlike Fraction  Fractions with different denominators are called the unlike fractions. Here the denominators of fractions have different values.
• 11. Mixed fraction  When a number is a combination of a whole number and a proper fraction, then it is called a mixed fraction.
• 12. Decimals  A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
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