\[3.14\]

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Split the number into its whole number component and decimal component.

3.14=3+0.14

For the decimal component,

0.14

is the same as

\frac{14}{100}

\frac{14}{100}

Find the Greatest Common Factor (GCF) of

14,100

Method 1: By Listing Factors

List the factors of each number.

Factors of 14

: 1, 2, 7, 14

Factors of 100

: 1, 2, 4, 5, 10, 20, 25, 50, 100

Find the largest number that is shared by all rows above. This is the GCF.

GCF =

2

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 14

: 2, 7

Prime Factors of 100

: 2, 2, 5, 5

Find the intersection of these primes.

2

The intersection contains only one number. Therefore, this is the GCF.

GCF =

2

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2

Divide both the numerator and the denominator by the GCF.

\frac{14\div 2}{100\div 2}

Simplify.

\frac{7}{50}

Combine the whole number component with the fraction.

3\frac{7}{50}

Done

Decimal Form: 3.14

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