Converting 21.3756 to a Fraction
Step-by-step explanation of how to convert 21.3756 to a fraction

Result

21.3756 =
53439
2500
Mixed number:
21
939
2500

Step 1: Identify the number of decimal places

The decimal 21.3756 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.3756 × 10000 = 213756

Step 3: Write as a fraction

21.3756 =

213756
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 213756 and 10000.

GCD(213756, 10000) = 4

Divide both the numerator and denominator by the GCD:

213756
10000

=

213756 ÷ 4
10000 ÷ 4

=

53439
2500
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