\[0.74\]

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Examples

0.74

is the same as

\frac{74}{100}

\frac{74}{100}

Find the Greatest Common Factor (GCF) of

74,100

Method 1: By Listing Factors

List the factors of each number.

Factors of 74

: 1, 2, 37, 74

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 74

: 2, 37

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{74\div 2}{100\div 2}

Simplify.

\frac{37}{50}

Done

Decimal Form: 0.74

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