2.416 as a Fraction

Answer

The answer for 2.416 as a fraction will be 2416/1000, which simplifies to 604/250. Further simplification yields 151/62.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 2.416 is the number on the numerator, and the base number 1 will be the denominator. Thus, 2.416 becomes 2.416/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 2.416/1 × 1000/1000 = 2416/1000

Step 3: Here, 4 is the GCD of 2416 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 4. 2416/1000 = 604/250

Step 4: Simplifying further, the GCD of 604 and 250 is 2. Divide both by 2: 604/250 = 302/125

Step 5: As 302/125 cannot be simplified further, it can be expressed as a mixed number: 2 and 52/125.

Thus, 2.416 can be written as the fraction 302/125 or as the mixed number 2 and 52/125.

• Fraction: A numerical expression representing a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A number that uses a decimal point to separate the whole number from the fractional part.
   
• Numerator: The top part of a fraction, indicating the number of parts being considered.
   
• Denominator: The bottom part of a fraction, showing the total number of equal parts that make up a whole.
   
• Greatest Common Divisor (GCD): The largest positive integer that divides two numbers without leaving a remainder, used to simplify fractions.