Fractions are used to represent a portion of a whole number. To express a number, such as 1.6875, as a fraction, it is necessary to convert the decimal to a fraction of two integers. In this article, we will look at how to express 1.6875 as a fraction and some of the key concepts associated with fractions.
Converting Decimals to Fractions
To convert a decimal to a fraction, the decimal must first be expressed as a fraction of two integers. This is done by finding the greatest common factor of the two integers. To find the greatest common factor of two integers, the two numbers must be multiplied together. The result of the multiplication of the two integers is then divided by the greatest common factor. This will give the fraction of two integers, which can then be reduced to its simplest form.
Expressing 1.6875 as a Fraction
To express 1.6875 as a fraction, the decimal must first be converted to a fraction of two integers. To do this, the decimal must be multiplied by 10,000. The result of the multiplication is 16,875. To find the greatest common factor of 16,875, the two numbers must be multiplied together. The result of the multiplication is 169,875,000. The greatest common factor of 169,875,000 is 1,000. Therefore, the fraction of two integers for 1.6875 is 16,875/1,000. This fraction can then be reduced to its simplest form, which is 16875/1000.
Key Concepts of Fractions
Fractions are an important concept in mathematics and can be used to express a portion of a whole number. A fraction is made up of two parts, the numerator and the denominator. The numerator is the top number of the fraction and represents the number of parts that are being taken from the whole number. The denominator is the bottom number of the fraction and represents the total number of parts that make up the whole number. When a fraction is reduced to its simplest form, the numerator and denominator have no common factors other than 1.
Conclusion
In conclusion, 1.6875 can be expressed as a fraction by converting the decimal to a fraction of two integers. To do this, the decimal must be multiplied by 10,000, and the result of the multiplication must be divided by the greatest common factor of the two integers. Doing this will give the fraction of two integers for 1.6875, which can then be reduced to its simplest form. Fractions are an important concept in mathematics and are used to express a portion of a whole number. The numerator is the top number of the fraction and represents the number of parts being taken from the whole number. The denominator is the bottom number of the fraction and represents the total number of parts that make up the whole number.
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