Converting 21.2374 to a Fraction
Step-by-step explanation of how to convert 21.2374 to a fraction

Result

21.2374 =
106187
5000
Mixed number:
21
1187
5000

Step 1: Identify the number of decimal places

The decimal 21.2374 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.2374 × 10000 = 212374

Step 3: Write as a fraction

21.2374 =

212374
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 212374 and 10000.

GCD(212374, 10000) = 2

Divide both the numerator and denominator by the GCD:

212374
10000

=

212374 ÷ 2
10000 ÷ 2

=

106187
5000
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