0.795 As A Fraction in Spanish

What Does 0.795 As A Fraction Mean?

Introduction

When dealing with numbers, it is important to understand their various forms and representations. One such representation is a fraction, which consists of a numerator and a denominator. In this article, we will explore what it means to represent the number 0.795 as a fraction.

Understanding Fractions

To grasp the concept of fractions, let us briefly revisit their definition. A fraction represents a part of a whole. The numerator, located above the fraction line, indicates the number of parts we have, while the denominator, located below the line, indicates the total number of equal parts that make up the whole.

Converting 0.795 to a Fraction

To convert the decimal 0.795 to a fraction, we need to analyze its place value. In this case, the digit 7 is in the hundredths place, the digit 9 is in the thousandths place, and the digit 5 is in the ten thousandths place. Thus, we can write 0.795 as: 0.7 (hundredths) + 0.09 (thousandths) + 0.005 (ten thousandths)

Simplifying the Fraction

To simplify the fraction, we need to remove the decimal point and express it as a fraction with integers. Multiplying both the numerator and denominator by 10000 will allow us to eliminate the decimal places. Thus, we have: 0.7 × 10000 + 0.09 × 10000 + 0.005 × 10000 = 7000 + 900 + 50 Adding these three terms together, we get: 7000 + 900 + 50 = 7550 Therefore, 0.795 as a fraction is 7550/10000.

Reducing the Fraction

The fraction 7550/10000 can be simplified further by dividing both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 7550 and 10000 is 250. Dividing both terms by 250, we get: 7550 ÷ 250 = 30 10000 ÷ 250 = 40 Thus, the simplified fraction of 0.795 is 30/40 or, converting to its simplest form: 30 ÷ 10 = 3 40 ÷ 10 = 4 Therefore, 0.795 as a fraction, in its simplest form, is 3/4.

Conclusion

In conclusion, representing a decimal number as a fraction allows us to express it as a ratio of two integers. By converting 0.795 to a fraction, we found that it is equal to 7550/10000. Simplifying it further, we reduced it to its simplest form of 3/4. Understanding fractions and their conversion from decimals can enhance our ability to work with numbers and solve mathematical problems effectively.

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