200/400 Simplified

What is 200/400 Simplified?

Answer: Fraction 200/400 simplified to lowest terms is 1/2 (½)
200
/
400
=
1
/
2

1/2 (½) is the simplified fraction of 200/400.

Simplifying Fraction 200/400 using GCF

The first way to simplify the fraction 200/400 is to use the Greatest Common Factor (GCF) of our numerator [200] and denominator [400].

GCF of 200 and 400 is 200

And then divide both the numerator [200] and denominator [400] by the GCF [200].

200 ÷ 200
/
400 ÷ 200
=
1
/
2

Simplifying Fraction 200/400 using Prime Factors

Another method to reduce the fraction 200/400 to its simplest form is to use the Prime Factors of numerator [200] and denominator [400].

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

2 × 2 × 2 × 5 × 5
/
2 × 2 × 2 × 2 × 5 × 5
=
1
/
2

Simplifying Fraction 200/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [200] and denominator [400] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

200 ÷ 2
/
400 ÷ 2
=
100
/
200
100 ÷ 2
/
200 ÷ 2
=
50
/
100
50 ÷ 2
/
100 ÷ 2
=
25
/
50
25 ÷ 5
/
50 ÷ 5
=
5
/
10
5 ÷ 5
/
10 ÷ 5
=
1
/
2

Fraction Simplification Table

FractionLowest Terms
200/38540/77
200/386100/193
200/387200/387
200/38850/97
200/389200/389
200/39020/39
200/391200/391
200/39225/49
200/393200/393
200/394100/197
200/39540/79
200/39650/99
200/397200/397
200/398100/199
200/399200/399
200/401200/401
200/402100/201
200/403200/403
200/40450/101
200/40540/81
200/406100/203
200/407200/407
200/40825/51
200/409200/409
200/410
200/411200/411
200/41250/103
200/413200/413
200/414100/207

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 200/400 Simplified? (The answer is: 1/2 (½)). Enter the fraction (numerator and denominator) (e.g. '200/400') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 200/400) 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).

FAQ

What is 200/400 Simplified?

Fraction 200/400 simplified to lowest terms is 1/2 (½)