75/40 Simplified

What is 75/40 Simplified?

Answer: Fraction 75/40 simplified to lowest terms is 15/8
75
/
40
=
15
/
8

15/8 is the simplified fraction of 75/40.

Since the numerator [75] is greater than the denominator [40] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

15
/
8
=1
7
/
8

Simplifying Fraction 75/40 using GCF

The first way to simplify the fraction 75/40 is to use the Greatest Common Factor (GCF) of our numerator [75] and denominator [40].

GCF of 75 and 40 is 5

And then divide both the numerator [75] and denominator [40] by the GCF [5].

75 ÷ 5
/
40 ÷ 5
=
15
/
8

Simplifying Fraction 75/40 using Prime Factors

Another method to reduce the fraction 75/40 to its simplest form is to use the Prime Factors of numerator [75] and denominator [40].

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 × 5
=
15
/
8

Simplifying Fraction 75/40 by Dividing by the Smallest Possible Number

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

75 ÷ 5
/
40 ÷ 5
=
15
/
8

See Also

Fraction Simplification Table

FractionLowest Terms
75/2675/26
75/27
75/2875/28
75/2975/29
75/3175/31
75/3275/32
75/33
75/3475/34
75/35
75/3625/12
75/3775/37
75/3875/38
75/3925/13
75/4175/41
75/4225/14
75/4375/43
75/4475/44
75/4675/46
75/4775/47
75/48
75/4975/49
75/5125/17
75/5275/52
75/5375/53
75/5425/18

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 75/40 Simplified? (The answer is: 15/8). Enter the fraction (numerator and denominator) (e.g. '75/40') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 75/40) 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).

FAQ

What is 75/40 Simplified?

Fraction 75/40 simplified to lowest terms is 15/8