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what is 4 and 1/5 as a decimal

what is 4 and 1/5 as a decimal

2 min read 05-02-2025
what is 4 and 1/5 as a decimal

Meta Description: Learn how to convert the mixed number 4 and 1/5 into its decimal equivalent. This easy-to-follow guide provides a step-by-step explanation and shows you how to solve similar fraction-to-decimal conversions. Discover the simple method to transform fractions into decimals and master this essential math skill.

Knowing how to convert fractions to decimals is a fundamental math skill. This article will guide you through converting the mixed number 4 and 1/5 into its decimal form. We'll break down the process step-by-step so you can easily understand and apply this to other fraction-to-decimal conversions.

Understanding Mixed Numbers and Decimals

Before we begin, let's clarify what we're working with:

  • Mixed Number: A mixed number combines a whole number and a fraction (e.g., 4 and 1/5).
  • Decimal: A decimal represents a fraction using a base-ten system, with a decimal point separating the whole number from the fractional part (e.g., 4.2).

Our goal is to convert the mixed number 4 and 1/5 into a decimal.

Converting 4 and 1/5 to a Decimal: A Step-by-Step Approach

Here's how to convert 4 and 1/5 to a decimal:

Step 1: Focus on the Fraction

First, let's isolate the fractional part of the mixed number: 1/5.

Step 2: Convert the Fraction to a Decimal

To convert a fraction to a decimal, you divide the numerator (top number) by the denominator (bottom number):

1 ÷ 5 = 0.2

Step 3: Combine with the Whole Number

Now, combine the decimal equivalent of the fraction (0.2) with the whole number part of the mixed number (4):

4 + 0.2 = 4.2

Therefore, 4 and 1/5 as a decimal is 4.2

Alternative Method: Converting to an Improper Fraction First

Another way to approach this is to first convert the mixed number into an improper fraction.

Step 1: Convert to an Improper Fraction

To convert 4 and 1/5 to an improper fraction, multiply the whole number (4) by the denominator (5), add the numerator (1), and keep the same denominator:

(4 * 5) + 1 = 21 Improper fraction: 21/5

Step 2: Divide to Get the Decimal

Now, divide the numerator by the denominator:

21 ÷ 5 = 4.2

Again, we arrive at the decimal 4.2

Practicing Fraction to Decimal Conversions

Understanding how to convert fractions to decimals is crucial for various mathematical applications. Here are a few more examples to practice:

  • 2 and 3/4: 3 ÷ 4 = 0.75; therefore, 2 and 3/4 = 2.75
  • 1 and 1/2: 1 ÷ 2 = 0.5; therefore, 1 and 1/2 = 1.5
  • 3 and 1/10: 1 ÷ 10 = 0.1; therefore, 3 and 1/10 = 3.1

Mastering this skill will greatly enhance your math abilities. Remember, the key is to divide the numerator by the denominator to get the decimal representation of the fraction. For mixed numbers, simply add the whole number to the resulting decimal.

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