\[0.056\]

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0.056

is the same as

\frac{56}{1000}

\frac{56}{1000}

Find the Greatest Common Factor (GCF) of

56,1000

Method 1: By Listing Factors

List the factors of each number.

Factors of 56

: 1, 2, 4, 7, 8, 14, 28, 56

Factors of 1000

: 1, 2, 4 ... 250, 500, 1000

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

GCF =

8

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 56

: 2, 2, 2, 7

Prime Factors of 1000

: 2, 2, 2, 5, 5, 5

Find the intersection of these primes.

2,2,2

Multiply these numbers:

2\times 2\times 2=8

. This is the GCF.

GCF =

8

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8

Divide both the numerator and the denominator by the GCF.

\frac{56\div 8}{1000\div 8}

Simplify.

\frac{7}{125}

Done

Decimal Form: 0.056

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