350/400 Simplified

What is 350/400 Simplified?

Answer: Fraction 350/400 simplified to lowest terms is 7/8 (⅞)
350
/
400
=
7
/
8

7/8 (⅞) is the simplified fraction of 350/400.

Simplifying Fraction 350/400 using GCF

The first way to simplify the fraction 350/400 is to use the Greatest Common Factor (GCF) of our numerator [350] and denominator [400].

GCF of 350 and 400 is 50

And then divide both the numerator [350] and denominator [400] by the GCF [50].

350 ÷ 50
/
400 ÷ 50
=
7
/
8

Simplifying Fraction 350/400 using Prime Factors

Another method to reduce the fraction 350/400 to its simplest form is to use the Prime Factors of numerator [350] 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 × 5 × 5 × 7
/
2 × 2 × 2 × 2 × 5 × 5
=
7
/
8

Simplifying Fraction 350/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [350] 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.

350 ÷ 2
/
400 ÷ 2
=
175
/
200
175 ÷ 5
/
200 ÷ 5
=
35
/
40
35 ÷ 5
/
40 ÷ 5
=
7
/
8

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 350/400 Simplified? (The answer is: 7/8 (⅞)). Enter the fraction (numerator and denominator) (e.g. '350/400') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 350/400) 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).

Fraction Simplification Table

FractionLowest Terms
350/385
350/386175/193
350/387350/387
350/388175/194
350/389350/389
350/39035/39
350/391350/391
350/39225/28
350/393350/393
350/394175/197
350/39570/79
350/396175/198
350/397350/397
350/398175/199
350/39950/57
350/401350/401
350/402175/201
350/403350/403
350/404175/202
350/40570/81
350/40625/29
350/407350/407
350/408175/204
350/409350/409
350/41035/41
350/411350/411
350/412175/206
350/41350/59
350/414175/207

FAQ

What is 350/400 Simplified?

Fraction 350/400 simplified to lowest terms is 7/8 (⅞)