175/100 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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What is 175/100 Simplified?

Answer: Fraction 175/100 simplified to lowest terms is 7/4
175
/
100
=
7
/
4

7/4 is the simplified fraction of 175/100.

Since the numerator [175] is greater than the denominator [100] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

7
/
4
=1
3
/
4

Simplifying Fraction 175/100 using GCF

The first way to simplify the fraction 175/100 is to use the Greatest Common Factor (GCF) of our numerator [175] and denominator [100].

GCF of 175 and 100 is 25

And then divide both the numerator [175] and denominator [100] by the GCF [25].

175 ÷ 25
/
100 ÷ 25
=
7
/
4

Simplifying Fraction 175/100 using Prime Factors

Another method to reduce the fraction 175/100 to its simplest form is to use the Prime Factors of numerator [175] and denominator [100].

Prime Factors of 175: 5,5,7

Prime Factors of 100: 2,2,5,5

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

5 × 5 × 7
/
2 × 2 × 5 × 5
=
7
/
4

Simplifying Fraction 175/100 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [175] and denominator [100] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

175 ÷ 5
/
100 ÷ 5
=
35
/
20
35 ÷ 5
/
20 ÷ 5
=
7
/
4

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Fraction Simplification Table

FractionLowest Terms
175/8535/17
175/86175/86
175/87175/87
175/88175/88
175/89175/89
175/9035/18
175/9125/13
175/92175/92
175/93175/93
175/94175/94
175/9535/19
175/96175/96
175/97175/97
175/9825/14
175/99175/99
175/1007/4
175/101175/101
175/102175/102
175/103175/103
175/104175/104
175/1055/3
175/106175/106
175/107175/107
175/108175/108
175/109175/109
175/11035/22
175/111175/111
175/11225/16
175/113175/113
175/114175/114

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 175/100 Simplified? (The answer is: 7/4). Enter the fraction (numerator and denominator) (e.g. '175/100') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 175/100) 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).

Fraction Simplifier Calculator

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FAQ

What is 175/100 Simplified?

Fraction 175/100 simplified to lowest terms is 7/4

See Also