What is 30/40 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 30/40 Simplified?

Answer: Fraction 30/40 simplified to lowest terms is 3/4 (¾)

30

/

40

=

3

/

4

3/4 (¾) is the simplified fraction of 30/40.

Simplifying Fraction 30/40 using GCF

The first way to simplify the fraction 30/40 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [40].

GCF of 30 and 40 is 10

And then divide both the numerator [30] and denominator [40] by the GCF [10].

30 ÷ 10

/

40 ÷ 10

=

3

/

4

Simplifying Fraction 30/40 using Prime Factors

Another method to reduce the fraction 30/40 to its simplest form is to use the Prime Factors of numerator [30] and denominator [40].

Prime Factors of 30: 2,3,5

Prime Factors of 40: 2,2,2,5

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

2 × 3 × 5

/

2 × 2 × 2 × 5

=

3

/

4

Simplifying Fraction 30/40 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] and denominator [40] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

30 ÷ 2

/

40 ÷ 2

=

15

/

20

15 ÷ 5

/

20 ÷ 5

=

3

/

4

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
30/25	6/5
30/26	15/13
30/27	10/9
30/28	15/14
30/29	30/29
30/30	1/1
30/31	30/31
30/32	15/16
30/33	10/11
30/34	15/17
30/35	6/7
30/36	5/6 (⅚)
30/37	30/37
30/38	15/19
30/39	10/13
30/40	3/4 (¾)
30/41	30/41
30/42	5/7
30/43	30/43
30/44	15/22
30/45	2/3 (⅔)
30/46	15/23
30/47	30/47
30/48	5/8 (⅝)
30/49	30/49
30/50	3/5 (⅗)
30/51	10/17
30/52	15/26
30/53	30/53
30/54	5/9

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 30/40 Simplified? (The answer is: 3/4 (¾)). Enter the fraction (numerator and denominator) (e.g. '30/40') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/40) 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).

30/40 Simplified