75/400 Simplified

What is 75/400 Simplified?

Answer: Fraction 75/400 simplified to lowest terms is 3/16
75
/
400
=
3
/
16

3/16 is the simplified fraction of 75/400.

Simplifying Fraction 75/400 using GCF

The first way to simplify the fraction 75/400 is to use the Greatest Common Factor (GCF) of our numerator [75] and denominator [400].

GCF of 75 and 400 is 25

And then divide both the numerator [75] and denominator [400] by the GCF [25].

75 ÷ 25
/
400 ÷ 25
=
3
/
16

Simplifying Fraction 75/400 using Prime Factors

Another method to reduce the fraction 75/400 to its simplest form is to use the Prime Factors of numerator [75] and denominator [400].

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

3 × 5 × 5
/
2 × 2 × 2 × 2 × 5 × 5
=
3
/
16

Simplifying Fraction 75/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [75] 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.

75 ÷ 5
/
400 ÷ 5
=
15
/
80
15 ÷ 5
/
80 ÷ 5
=
3
/
16

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 75/400 Simplified? (The answer is: 3/16). Enter the fraction (numerator and denominator) (e.g. '75/400') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 75/400) 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
75/38515/77
75/38675/386
75/38725/129
75/38875/388
75/38975/389
75/390
75/39175/391
75/39275/392
75/39325/131
75/39475/394
75/39515/79
75/39625/132
75/39775/397
75/39875/398
75/39925/133
75/40175/401
75/40225/134
75/40375/403
75/40475/404
75/405
75/40675/406
75/40775/407
75/40825/136
75/40975/409
75/41015/82
75/41125/137
75/41275/412
75/41375/413
75/41425/138

FAQ

What is 75/400 Simplified?

Fraction 75/400 simplified to lowest terms is 3/16