Converting 83.689824 to a Fraction
Step-by-step explanation of how to convert 83.689824 to a fraction
Result
83.689824 =
2615307
31250
Mixed number:
83
21557
31250
Step 1: Identify the number of decimal places
The decimal 83.689824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
83.689824 × 1000000 = 83689824
Step 3: Write as a fraction
83.689824 =
83689824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 83689824 and 1000000.
GCD(83689824, 1000000) = 32
Divide both the numerator and denominator by the GCD:
83689824
1000000
=
83689824 ÷ 32
1000000 ÷ 32
=
2615307
31250
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