What is 105/70 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 105/70 Simplified?

Answer

Fraction 105/70 simplified to lowest terms is 3/2

105

70

=

3

2

3/2 is the simplified fraction of 105/70.

Since the numerator [105] is greater than the denominator [70] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

3

2

=1

1

2

Simplifying Fraction 105/70 using GCF

The first way to simplify the fraction 105/70 is to use the Greatest Common Factor (GCF) of our numerator [105] and denominator [70].

GCF of 105 and 70 is 35

And then divide both the numerator [105] and denominator [70] by the GCF [35].

105 ÷ 35

70 ÷ 35

=

3

2

Simplifying Fraction 105/70 using Prime Factors

Another method to reduce the fraction 105/70 to its simplest form is to use the Prime Factors of numerator [105] and denominator [70].

Prime Factors of 105: 3,5,7

Prime Factors of 70: 2,5,7

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 × 5 × 7

=

3

2

Simplifying Fraction 105/70 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [105] and denominator [70] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

105 ÷ 5

70 ÷ 5

=

21

14

21 ÷ 7

14 ÷ 7

=

3

2

Fraction Simplification Table

Fraction	Lowest Terms
105/55	21/11
105/56	15/8
105/57	35/19
105/58	105/58
105/59	105/59
105/60	7/4
105/61	105/61
105/62	105/62
105/63	5/3
105/64	105/64
105/65	21/13
105/66	35/22
105/67	105/67
105/68	105/68
105/69	35/23
105/70	3/2
105/71	105/71
105/72	35/24
105/73	105/73
105/74	105/74
105/75	7/5
105/76	105/76
105/77	15/11
105/78	35/26
105/79	105/79
105/80	21/16
105/81	35/27
105/82	105/82
105/83	105/83
105/84	5/4

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 105/70 Simplified? (The answer is: 3/2). Enter the fraction (numerator and denominator) (e.g. '105/70') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 105/70) 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).

105/70 Simplified