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What is 6.25 as a Fraction?

Answer – 6.25 as a fraction is 25/4.

Explanation: 

A fraction represents a part of a whole or a ratio between two quantities. It consists of two numbers separated by a horizontal or diagonal line, with the number above the line called the numerator and the number below the line called the denominator.

6.25 can be written as 625/100. This fraction can be further simplified by finding the greatest common divisor (GCD) and dividing the fraction further with it. GCD is the largest number that divides two or more numbers without leaving a remainder. 

One way to find the GCD of a number is by the prime factorization method. In this, both the numerator and denominator are prime factorized, as shown below: 

  • 625 = 5 × 5 × 5 × 5 = 54
  • 100 = 2 × 2 × 5 × 5 = 22 x 52

Both numbers share two factors of 5 (i.e., 5 x 5). Therefore, the GCD is 25. The next step is to divide both the numerator and denominator by the GCD.

  • 625÷25/100÷25 = 25/4.

This is the simplified form of the fraction.

Thus, 6.25 as a fraction is 25/4.


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