.428 As A Fraction in Spanish

What Does .428 As A Fraction Mean?

Introduction

In mathematics, decimals and fractions are two common ways of representing numbers. Decimals are expressed using a decimal point, while fractions use a numerator and a denominator. Sometimes, it can be useful to convert a decimal into a fraction to simplify calculations or understand the number better. In this article, we will explore what the decimal .428 means as a fraction.

Understanding Decimals

Decimals are a way of expressing numbers that fall between two whole numbers. The decimal point separates the whole number part from the fractional part, allowing us to precisely define a number’s value. For example, the decimal 0.5 is equal to half, whereas 0.25 is equal to one-fourth.

Converting Decimals to Fractions

Converting a decimal to a fraction involves understanding the place value of each digit after the decimal point. To illustrate this, let’s examine the decimal .428.

Step 1: Identify the Place Value

In the decimal .428, the first digit after the decimal point represents the tenths place, the second digit represents the hundredths place, and the third digit represents the thousandths place.

Step 2: Write the Decimal as a Fraction

To convert .428 to a fraction, we write each digit in the decimal as a numerator and use the corresponding place value as the denominator. Therefore, the fraction representation of .428 becomes 428/1000.

Simplifying the Fraction

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 428 and 1000 is 4. By dividing both numbers by 4, we get 107/250.

The Equivalent Fraction

So, the decimal .428 can be equivalently expressed as the fraction 107/250.

Conclusion

In conclusion, converting decimals to fractions provides an alternative representation that can be useful in various mathematical operations. The decimal .428 can be written as the fraction 107/250. By converting decimals to fractions, we can simplify calculations, compare values, and gain a deeper understanding of the numbers we are working with.

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