150/400 Simplified

What is 150/400 Simplified?

Answer: Fraction 150/400 simplified to lowest terms is 3/8 (⅜)
150
/
400
=
3
/
8

3/8 (⅜) is the simplified fraction of 150/400.

Simplifying Fraction 150/400 using GCF

The first way to simplify the fraction 150/400 is to use the Greatest Common Factor (GCF) of our numerator [150] and denominator [400].

GCF of 150 and 400 is 50

And then divide both the numerator [150] and denominator [400] by the GCF [50].

150 ÷ 50
/
400 ÷ 50
=
3
/
8

Simplifying Fraction 150/400 using Prime Factors

Another method to reduce the fraction 150/400 to its simplest form is to use the Prime Factors of numerator [150] 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 × 3 × 5 × 5
/
2 × 2 × 2 × 2 × 5 × 5
=
3
/
8

Simplifying Fraction 150/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [150] 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.

150 ÷ 2
/
400 ÷ 2
=
75
/
200
75 ÷ 5
/
200 ÷ 5
=
15
/
40
15 ÷ 5
/
40 ÷ 5
=
3
/
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 150/400 Simplified? (The answer is: 3/8 (⅜)). Enter the fraction (numerator and denominator) (e.g. '150/400') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 150/400) 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
150/38530/77
150/38675/193
150/38750/129
150/38875/194
150/389150/389
150/390
150/391150/391
150/39275/196
150/39350/131
150/39475/197
150/39530/79
150/39625/66
150/397150/397
150/39875/199
150/39950/133
150/401150/401
150/40225/67
150/403150/403
150/40475/202
150/405
150/40675/203
150/407150/407
150/40825/68
150/409150/409
150/41015/41
150/41150/137
150/41275/206
150/413150/413
150/41425/69

FAQ

What is 150/400 Simplified?

Fraction 150/400 simplified to lowest terms is 3/8 (⅜)