105/30 Simplified

What is 105/30 Simplified?

Answer: Fraction 105/30 simplified to lowest terms is 7/2
105
/
30
=
7
/
2

7/2 is the simplified fraction of 105/30.

Since the numerator [105] 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:

7
/
2
=3
1
/
2

Simplifying Fraction 105/30 using GCF

The first way to simplify the fraction 105/30 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [30].

GCF of 105 and 30 is 15

And then divide both the numerator [105] and denominator [30] by the GCF [15].

105 ÷ 15
/
30 ÷ 15
=
7
/
2

Simplifying Fraction 105/30 using Prime Factors

Another method to reduce the fraction 105/30 to its simplest form is to use the Prime Factors of numerator [105] and denominator [30].

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

3 × 5 × 7
/
2 × 3 × 5
=
7
/
2

Simplifying Fraction 105/30 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [105] 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.

105 ÷ 3
/
30 ÷ 3
=
35
/
10
35 ÷ 5
/
10 ÷ 5
=
7
/
2

See Also

Fraction Simplification Table

FractionLowest Terms
105/15
105/16105/16
105/17105/17
105/18
105/19105/19
105/21
105/22105/22
105/23105/23
105/24
105/2521/5
105/26105/26
105/27
105/28
105/29105/29
105/31105/31
105/32105/32
105/3335/11
105/34105/34
105/35
105/3635/12
105/37105/37
105/38105/38
105/3935/13
105/40
105/41105/41
105/42
105/43105/43
105/44105/44

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 105/30 Simplified? (The answer is: 7/2). Enter the fraction (numerator and denominator) (e.g. '105/30') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 105/30) 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).

FAQ

What is 105/30 Simplified?

Fraction 105/30 simplified to lowest terms is 7/2