\[0.24\]

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0.24

is the same as

\frac{24}{100}

\frac{24}{100}

Find the Greatest Common Factor (GCF) of

24,100

Method 1: By Listing Factors

List the factors of each number.

Factors of 24

: 1, 2, 3, 4, 6, 8, 12, 24

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 =

4

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 24

: 2, 2, 2, 3

Prime Factors of 100

: 2, 2, 5, 5

Find the intersection of these primes.

2,2

Multiply these numbers:

2\times 2=4

. This is the GCF.

GCF =

4

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4

Divide both the numerator and the denominator by the GCF.

\frac{24\div 4}{100\div 4}

Simplify.

\frac{6}{25}

Done

Decimal Form: 0.24

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