Simplifying the Fraction: 175/625
In this article, we will explore how to simplify the fraction 175/625. Simplifying fractions is an essential concept in mathematics, as it allows us to express fractions in their simplest form.
What is a Fraction?
A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, while the denominator tells us how many parts the whole is divided into.
The Fraction 175/625
The fraction 175/625 can be written as:
175 (numerator) / 625 (denominator)
Simplifying the Fraction
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder.
In this case, the GCD of 175 and 625 is 25.
Divide Both Numbers by the GCD
Now, we can divide both the numerator and the denominator by the GCD:
175 ÷ 25 = 7 625 ÷ 25 = 25
The Simplified Fraction
The simplified fraction is:
7/25
Therefore, the simplified form of the fraction 175/625 is 7/25.
Conclusion
In conclusion, simplifying fractions is an important concept in mathematics. By finding the greatest common divisor and dividing both numbers by it, we can simplify fractions to their simplest form. In this case, we simplified the fraction 175/625 to its simplest form, which is 7/25.
