357/84 Simplified

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What is 357/84 Simplified?

Answer

Fraction 357/84 simplified to lowest terms is 17/4
357
84
=
17
4

17/4 is the simplified fraction of 357/84.

Since the numerator [357] is greater than the denominator [84] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

17
4
= 4
1
4

Simplifying Fraction 357/84 using GCF

The first way to simplify the fraction 357/84 is to use the Greatest Common Factor (GCF) of our numerator [357] and denominator [84].

GCF of 357 and 84 is 21

And then divide both the numerator [357] and denominator [84] by the GCF [21].

357 ÷ 21
84 ÷ 21
=
17
4

Simplifying Fraction 357/84 using Prime Factors

Another method to reduce the fraction 357/84 to its simplest form is to use the Prime Factors of numerator [357] and denominator [84].

Prime Factors of 357: 3,7,17

Prime Factors of 84: 2,2,3,7

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

3 × 7 × 17
2 × 2 × 3 × 7
=
17
4

Simplifying Fraction 357/84 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [357] and denominator [84] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

357 ÷ 3
84 ÷ 3
=
119
28
119 ÷ 7
28 ÷ 7
=
17
4

See Also

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 357/84 Simplified? (The answer is: 17/4). Enter the fraction (numerator and denominator) (e.g. '357/84') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 357/84) 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

Simplify the Fraction

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Fraction Simplification Table

Fraction Lowest Terms
357/69 119/23
357/70 51/10
357/71 357/71
357/72 119/24
357/73 357/73
357/74 357/74
357/75 119/25
357/76 357/76
357/77 51/11
357/78 119/26
357/79 357/79
357/80 357/80
357/81 119/27
357/82 357/82
357/83 357/83
357/84 17/4
357/85 21/5
357/86 357/86
357/87 119/29
357/88 357/88
357/89 357/89
357/90 119/30
357/91 51/13
357/92 357/92
357/93 119/31
357/94 357/94
357/95 357/95
357/96 119/32
357/97 357/97
357/98 51/14

FAQ

What is 357/84 Simplified?
Fraction 357/84 simplified to lowest terms is 17/4

How do you simplify 357/84?
357/84 simplified to lowest terms is 17/4. Divide both the numerator and denominator by their GCF (21).

What is the GCF of 357 and 84?
The Greatest Common Factor of 357 and 84 is 21.

See Also