\[-2.05\]

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Ignore the negative sign for now.

2.05

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

2.05=2+0.05

For the decimal component,

0.05

is the same as

\frac{5}{100}

\frac{5}{100}

Find the Greatest Common Factor (GCF) of

5,100

Method 1: By Listing Factors

List the factors of each number.

Factors of 5

: 1, 5

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 =

5

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 5

: 5

Prime Factors of 100

: 2, 2, 5, 5

Find the intersection of these primes.

5

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

GCF =

5

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5

Divide both the numerator and the denominator by the GCF.

\frac{5\div 5}{100\div 5}

Simplify.

\frac{1}{20}

Combine the whole number component with the fraction.

2\frac{1}{20}

Add back the negative sign.

-2\frac{1}{20}

Done

Decimal Form: -2.05

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