\[3.6\]

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Examples

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

3.6=3+0.6

For the decimal component,

0.6

is the same as

\frac{6}{10}

\frac{6}{10}

Find the Greatest Common Factor (GCF) of

6,10

Method 1: By Listing Factors

List the factors of each number.

Factors of 6

: 1, 2, 3, 6

Factors of 10

: 1, 2, 5, 10

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 6

: 2, 3

Prime Factors of 10

: 2, 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{6\div 2}{10\div 2}

Simplify.

\frac{3}{5}

Combine the whole number component with the fraction.

3\frac{3}{5}

Done

Decimal Form: 3.6

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