As a mathematical expert, I'm here to provide you with a comprehensive understanding of the concept you've inquired about. The term "7 8 in a number" seems to be a bit ambiguous, but I'll assume you're asking about the number 7/8, which is a fraction representing a rational number.

In mathematics, a rational number is any number that can be expressed as the quotient or fraction \( \frac{p}{q} \) of two integers, where the denominator \( q \) is not zero. The number 7/8 fits this definition perfectly, as both 7 and 8 are integers, and 8 is not zero. This fraction represents the division of 7 by 8, which is a way to express a part of a whole.

The fraction 7/8 can be represented in various forms:


1. As a Decimal: When you divide 7 by 8, you get a decimal number. The division of 7 by 8 results in 0.875. This decimal representation is useful in many practical applications, such as measurements and financial calculations.


2. As a Percentage: To convert a decimal to a percentage, you multiply by 100. So, 0.875 as a percentage is 87.5%. Percentages are widely used in various fields, including business, science, and everyday life, to express proportions or ratios out of 100.


3. In Terms of Ratios: The fraction 7/8 can also be expressed as a ratio, which is a way to compare two quantities. For example, if you have 7 apples and you divide them into 8 equal parts, each part would represent 7/8 of the total.


4. In Terms of Proportions: Proportions are another way to express the relationship between two numbers. If you have a rectangle with a length of 7 units and a width of 8 units, the proportion of the length to the width is 7:8, which can also be written as the fraction 7/8.


5. In Terms of Simplification: While 7/8 is already in its simplest form, it's important to note that not all fractions are. Simplification involves reducing a fraction to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). In the case of 7/8, the GCD of 7 and 8 is 1, so the fraction is already in its simplest form.


6. In Terms of Operations: Fractions can be manipulated through various arithmetic operations, such as addition, subtraction, multiplication, and division. For example, if you have another fraction, say 3/4, you can add it to 7/8 by finding a common denominator and then combining the numerators.

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In Terms of Applications: Rational numbers are fundamental in mathematics and are used in a wide range of applications, from basic arithmetic to complex algebraic expressions, geometry, and calculus.

It's important to recognize that while 7/8 is a rational number, it is not an integer. The term "integer" refers to whole numbers, both positive and negative, including zero, and does not include fractions or decimals. Rational numbers encompass integers as a subset, but they also include all fractions and decimals that can be expressed as the ratio of two integers.

In conclusion, the number 7/8 is a rational number that can be expressed in various forms and has a wide range of applications in mathematics and other fields. Understanding its properties and how to manipulate it is crucial for anyone studying or working with numbers.

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As others have pointed out , 7/8 is already written as a rational. Perhaps you must clarify your definition of a rational number: A number that can be expressed as the ratio of tow integers ( both of them , 7 and 8 are integers ) hence 7/8 is an integer. As a decimal to is 0.875 and as a percentage it is 87.5%.read more >>