## Explanation of the fundamental principle of fractions

Explain the fundamental principle of fractions.

### The fundamental principle of fractions

See Definition of the fundamental principle of fractions.

### Example of fundamental principle of fractions

Problem: Change the value of the denominator to 25

Solution.

We can do it by multiplying the original fraction 1/5 by 5/5. It means we multiply the numerator and denominator of the original fraction by 5.

The fraction 5/5 is equal to one

We get the 1 by dividing the numerator 5 by the denominator 5.

Multiplying by 1 does not change the value of any fraction.

We can multiply the original fraction 1/5 by 5/5 (because it is equal to one)

The problem is solved.

Are these two fractions 1/5 and 5/25 equivalent? Yes, they are.

The value of the fraction 1/5 is

The value of the fraction 5/25 is

These two fractions are equivalent.