175/400 Simplified

What is 175/400 Simplified?

Answer: Fraction 175/400 simplified to lowest terms is 7/16
175
/
400
=
7
/
16

7/16 is the simplified fraction of 175/400.

Simplifying Fraction 175/400 using GCF

The first way to simplify the fraction 175/400 is to use the Greatest Common Factor (GCF) of our numerator [175] and denominator [400].

GCF of 175 and 400 is 25

And then divide both the numerator [175] and denominator [400] by the GCF [25].

175 ÷ 25
/
400 ÷ 25
=
7
/
16

Simplifying Fraction 175/400 using Prime Factors

Another method to reduce the fraction 175/400 to its simplest form is to use the Prime Factors of numerator [175] and denominator [400].

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

5 × 5 × 7
/
2 × 2 × 2 × 2 × 5 × 5
=
7
/
16

Simplifying Fraction 175/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [175] 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.

175 ÷ 5
/
400 ÷ 5
=
35
/
80
35 ÷ 5
/
80 ÷ 5
=
7
/
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 175/400 Simplified? (The answer is: 7/16). Enter the fraction (numerator and denominator) (e.g. '175/400') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 175/400) 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
175/385
175/386175/386
175/387175/387
175/388175/388
175/389175/389
175/39035/78
175/391175/391
175/39225/56
175/393175/393
175/394175/394
175/39535/79
175/396175/396
175/397175/397
175/398175/398
175/39925/57
175/401175/401
175/402175/402
175/403175/403
175/404175/404
175/40535/81
175/40625/58
175/407175/407
175/408175/408
175/409175/409
175/41035/82
175/411175/411
175/412175/412
175/41325/59
175/414175/414

FAQ

What is 175/400 Simplified?

Fraction 175/400 simplified to lowest terms is 7/16