Converting 21.14752 to a Fraction
Step-by-step explanation of how to convert 21.14752 to a fraction
Result
21.14752 =
66086
3125
Mixed number:
21
461
3125
Step 1: Identify the number of decimal places
The decimal 21.14752 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
21.14752 × 100000 = 2114752
Step 3: Write as a fraction
21.14752 =
2114752
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2114752 and 100000.
GCD(2114752, 100000) = 32
Divide both the numerator and denominator by the GCD:
2114752
100000
=
2114752 ÷ 32
100000 ÷ 32
=
66086
3125
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