To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.

* Why do we try to reduce (simplify) the fractions?

By reducing the values of the numerators and the denominators of the fractions the calculations are easier to make.

A fully reduced (simplified) fraction is one with the smallest possible numerator and denominator, one that can no longer be reduced, and it is called an irreducible fraction.

The fraction: ⁵⁵/_1,613 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
55 = 5 × 11
1,613 is a prime number
GCF (5 × 11; 1,613) = 1

The fraction: ^2,896/_10,575 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
2,896 = 2⁴ × 181
10,575 = 3² × 5² × 47
GCF (2⁴ × 181; 3² × 5² × 47) = 1

Internal link > Reduce (simplify) common (ordinary) fractions to the lowest terms (to their simplest form equivalent), online calculator

To calculate the fractions' operation we have to:

1) find their common denominator

2) then calculate the expanding number of each fraction

3) then build up their denominators the same by expanding the fractions to equivalent forms, which all have equal denominators (the same denominator)

* The common denominator is nothing else than the least common multiple (LCM) of the denominators of the fractions.

The LCM will be the common denominator of the fractions that we work with.

The prime factorization of the denominators:

1,613 is a prime number

10,575 = 3² × 5² × 47

Multiply all the unique prime factors: if there are repeating prime factors we only take them once, and only the ones having the highest exponent (the highest powers).

LCM (1,613; 10,575) = 3² × 5² × 47 × 1,613 = 17,057,475

External link > Calculate LCM, the least common multiple of numbers, online calculator

Divide the LCM by the denominator of each fraction.

⁵⁵/_1,613 : 17,057,475 ÷ 1,613 = (3² × 5² × 47 × 1,613) ÷ 1,613 = 10,575

^2,896/_10,575 : 17,057,475 ÷ 10,575 = (3² × 5² × 47 × 1,613) ÷ (3² × 5² × 47) = 1,613

Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated at the step 2, above. This way all the fractions will have the same denominator.

Then keep the common denominator and work only with the numerators of the fractions.

To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.

A fully reduced (simplified) fraction is one with the smallest possible numerator and denominator, one that can no longer be reduced, and it is called an irreducible fraction.

^5,252,873/_17,057,475 is already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

5,252,873 = 19 × 276,467

17,057,475 = 3² × 5² × 47 × 1,613

GCF (19 × 276,467; 3² × 5² × 47 × 1,613) = 1

Internal link > Reduce (simplify) common (ordinary) fractions to the lowest terms (to their simplest form equivalent), online calculator

Simply divide the numerator by the denominator, without a remainder, as shown below:

A percentage value p% is equal to the fraction: ^p/₁₀₀, for any decimal number p. So, we need to change the form of the number calculated above, to show a denominator of 100.

To do that, multiply the number by the fraction ¹⁰⁰/₁₀₀.

The value of the fraction ¹⁰⁰/₁₀₀ = 1, so by multiplying the number by this fraction the result is not changing, only the form.

External link > Convert and write integer and decimal numbers, fractions and ratios as percentages, online calculator

How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.