\[0.750\]

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0.750

is the same as

\frac{750}{1000}

\frac{750}{1000}

Find the Greatest Common Factor (GCF) of

750,1000

Method 1: By Listing Factors

List the factors of each number.

Factors of 750

: 1, 2, 3 ... 250, 375, 750

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 =

250

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 750

: 2, 3, 5, 5, 5

Prime Factors of 1000

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

Find the intersection of these primes.

2,5,5,5

Multiply these numbers:

2\times 5\times 5\times 5=250

. This is the GCF.

GCF =

250

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250

Divide both the numerator and the denominator by the GCF.

\frac{750\div 250}{1000\div 250}

Simplify.

\frac{3}{4}

Done

Decimal Form: 0.75

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