825/1000 Simplified

What is 825/1000 Simplified?

Answer: Fraction 825/1000 simplified to lowest terms is 33/40
825
/
1000
=
33
/
40

33/40 is the simplified fraction of 825/1000.

Simplifying Fraction 825/1000 using GCF

The first way to simplify the fraction 825/1000 is to use the Greatest Common Factor (GCF) of our numerator [825] and denominator [1000].

GCF of 825 and 1000 is 25

And then divide both the numerator [825] and denominator [1000] by the GCF [25].

825 ÷ 25
/
1000 ÷ 25
=
33
/
40

Simplifying Fraction 825/1000 using Prime Factors

Another method to reduce the fraction 825/1000 to its simplest form is to use the Prime Factors of numerator [825] and denominator [1000].

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

3 × 5 × 5 × 11
/
2 × 2 × 2 × 5 × 5 × 5
=
33
/
40

Simplifying Fraction 825/1000 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [825] and denominator [1000] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

825 ÷ 5
/
1000 ÷ 5
=
165
/
200
165 ÷ 5
/
200 ÷ 5
=
33
/
40

See Also

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 825/1000 Simplified? (The answer is: 33/40). Enter the fraction (numerator and denominator) (e.g. '825/1000') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 825/1000) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

Fraction Simplification Table

FractionLowest Terms
825/985165/197
825/986825/986
825/987275/329
825/988825/988
825/989825/989
825/990
825/991825/991
825/992825/992
825/993275/331
825/994825/994
825/995165/199
825/996275/332
825/997825/997
825/998825/998
825/999275/333
825/100175/91
825/1002275/334
825/1003825/1003
825/1004825/1004
825/100555/67
825/1006825/1006
825/1007825/1007
825/1008275/336
825/1009825/1009
825/1010165/202
825/1011275/337
825/101275/92
825/1013825/1013
825/1014275/338

FAQ

What is 825/1000 Simplified?

Fraction 825/1000 simplified to lowest terms is 33/40