\[20.25\]

Choose Topic

Examples

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

20.25=20+0.25

For the decimal component,

0.25

is the same as

\frac{25}{100}

\frac{25}{100}

Find the Greatest Common Factor (GCF) of

25,100

Method 1: By Listing Factors

List the factors of each number.

Factors of 25

: 1, 5, 25

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 =

25

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 25

: 5, 5

Prime Factors of 100

: 2, 2, 5, 5

Find the intersection of these primes.

5,5

Multiply these numbers:

5\times 5=25

. This is the GCF.

GCF =

25

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

25

Divide both the numerator and the denominator by the GCF.

\frac{25\div 25}{100\div 25}

Simplify.

\frac{1}{4}

Combine the whole number component with the fraction.

20\frac{1}{4}

Done

Decimal Form: 20.25

Like this solution? Share it!