Converting 35.8388 to a Fraction
Step-by-step explanation of how to convert 35.8388 to a fraction

Result

35.8388 =
89597
2500
Mixed number:
35
2097
2500

Step 1: Identify the number of decimal places

The decimal 35.8388 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

35.8388 × 10000 = 358388

Step 3: Write as a fraction

35.8388 =

358388
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 358388 and 10000.

GCD(358388, 10000) = 4

Divide both the numerator and denominator by the GCD:

358388
10000

=

358388 ÷ 4
10000 ÷ 4

=

89597
2500
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