What is 40/30 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 40/30 Simplified?

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

40

/

30

=

4

/

3

4/3 is the simplified fraction of 40/30.

Since the numerator [40] is greater than the denominator [30] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

4

/

3

=1

1

/

3

Simplifying Fraction 40/30 using GCF

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

GCF of 40 and 30 is 10

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

40 ÷ 10

/

30 ÷ 10

=

4

/

3

Simplifying Fraction 40/30 using Prime Factors

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

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

Prime Factors of 30: 2,3,5

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

2 × 2 × 2 × 5

/

2 × 3 × 5

=

4

/

3

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

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

40 ÷ 2

/

30 ÷ 2

=

20

/

15

20 ÷ 5

/

15 ÷ 5

=

4

/

3

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
40/15	8/3
40/16	5/2
40/17	40/17
40/18	20/9
40/19	40/19
40/20	2/1
40/21	40/21
40/22	20/11
40/23	40/23
40/24	5/3
40/25	8/5
40/26	20/13
40/27	40/27
40/28	10/7
40/29	40/29
40/30	4/3
40/31	40/31
40/32	5/4
40/33	40/33
40/34	20/17
40/35	8/7
40/36	10/9
40/37	40/37
40/38	20/19
40/39	40/39
40/40	1/1
40/41	40/41
40/42	20/21
40/43	40/43
40/44	10/11

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

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

40/30 Simplified