What is 160/400 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 160/400 Simplified?

Answer: Fraction 160/400 simplified to lowest terms is 2/5 (⅖)

160

/

400

=

2

/

5

2/5 (⅖) is the simplified fraction of 160/400.

Simplifying Fraction 160/400 using GCF

The first way to simplify the fraction 160/400 is to use the Greatest Common Factor (GCF) of our numerator [160] and denominator [400].

GCF of 160 and 400 is 80

And then divide both the numerator [160] and denominator [400] by the GCF [80].

160 ÷ 80

/

400 ÷ 80

=

2

/

5

Simplifying Fraction 160/400 using Prime Factors

Another method to reduce the fraction 160/400 to its simplest form is to use the Prime Factors of numerator [160] and denominator [400].

Prime Factors of 160: 2,2,2,2,2,5

Prime Factors of 400: 2,2,2,2,5,5

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

2 × 2 × 2 × 2 × 2 × 5

/

2 × 2 × 2 × 2 × 5 × 5

=

2

/

5

Simplifying Fraction 160/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [160] 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.
160 ÷ 2
/
400 ÷ 2
=80
/
200
80 ÷ 2
/
200 ÷ 2
=40
/
100
40 ÷ 2
/
100 ÷ 2
=20
/
50
20 ÷ 2
/
50 ÷ 2
=10
/
25
10 ÷ 5
/
25 ÷ 5
=2
/
5

Related Calculations

What is 160/400 as a percent?

Fraction Simplification Table

Fraction	Lowest Terms
160/385	32/77
160/386	80/193
160/387	160/387
160/388	40/97
160/389	160/389
160/390	16/39
160/391	160/391
160/392	20/49
160/393	160/393
160/394	80/197
160/395	32/79
160/396	40/99
160/397	160/397
160/398	80/199
160/399	160/399
160/400	2/5 (⅖)
160/401	160/401
160/402	80/201
160/403	160/403
160/404	40/101
160/405	32/81
160/406	80/203
160/407	160/407
160/408	20/51
160/409	160/409
160/410	16/41
160/411	160/411
160/412	40/103
160/413	160/413
160/414	80/207

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 160/400 Simplified? (The answer is: 2/5 (⅖)). Enter the fraction (numerator and denominator) (e.g. '160/400') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 160/400) 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).

160/400 Simplified