SBP-Program

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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

1
5

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

5 = 1
5

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)

1 * 5 = 
55
1 * 5 = 5
5 * 525

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

1 = 0.2
5

The value of the fraction 5/25 is

5 = 0.2
25

These two fractions are equivalent.