Converting 21.4152 to a Fraction
Step-by-step explanation of how to convert 21.4152 to a fraction

Result

21.4152 =
26769
1250
Mixed number:
21
519
1250

Step 1: Identify the number of decimal places

The decimal 21.4152 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.4152 × 10000 = 214152

Step 3: Write as a fraction

21.4152 =

214152
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 214152 and 10000.

GCD(214152, 10000) = 8

Divide both the numerator and denominator by the GCD:

214152
10000

=

214152 ÷ 8
10000 ÷ 8

=

26769
1250
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