1 3/39 as a Decimal

Introduction:**

In the realm of Mathematics, fractions hold a significant position, serving as a bridge between the mundane and the abstract. They allow us to express concepts such as parts of a whole, ratios, and proportions in a precise and compact manner. In this article, we shall elucidate the process of converting the fraction 1 3/39 into its decimal equivalent. This transformation is not only a mathematical exercise but also a fascinating journey into the world of numbers.

Background:

Before delving into the intricacies of decimal conversions, it is essential to understand the fundamental concepts underlying fractions. A fraction is a mathematical expression consisting of two essential components: the numerator and the denominator, which are separated by a horizontal line. The numerator represents the number of parts or elements within the whole, while the denominator indicates the total number of parts that the whole is divided into. For instance, the fraction 3/4 represents three parts out of a total of four parts.

Conversely, a decimal is a number that utilizes a set of symbols, typically digits and a decimal point, to represent a real number. The decimal point acts as a separator between the integer and fraction parts of a number. For example, the decimal number 3.14 corresponds to the fraction 314/100.

Conversion Process:

Now, let us embark on the journey of converting the mixed fraction 1 3/39 into a decimal. To achieve this, we shall follow a series of logical steps.

1. Convert the Mixed Fraction to an Improper Fraction:
   The first step towards converting a mixed fraction to a decimal is to transform it into an improper fraction. This is achieved by multiplying the whole number (in this case, 39) by the denominator and then adding the resulting product to the numerator. In our case, 39 * 3 + 1 = 117. Thus, the improper fraction representation of 1 3/39 is 117/1.

2. Divide the Numerator by the Denominator:
   The next step is to divide the numerator of the improper fraction (117) by the denominator (1) to obtain the decimal approximation. This can be efficiently performed using a calculator or a hand-held decimal point calculator. Thus, 117 ÷ 1 = 117.

3. Express the Answer as a Decimal:
   Finally, we present the answer in decimal form. In this case, the decimal approximation of 1 3/39 is 1.17.

:, the process of converting the mixed fraction 1 3/39 into a decimal is a straightforward and systematic one that involves the conversion of a mixed fraction to an improper fraction and then dividing the numerator by the denominator. By following the steps outlined in this article, we have demonstrated the elegance and power of mathematics in solving real-world problems.

References:

• [Calculator(39 / 3)]->13