Converting 35.4228 to a Fraction
Step-by-step explanation of how to convert 35.4228 to a fraction

Result

35.4228 =
88557
2500
Mixed number:
35
1057
2500

Step 1: Identify the number of decimal places

The decimal 35.4228 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

35.4228 × 10000 = 354228

Step 3: Write as a fraction

35.4228 =

354228
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 354228 and 10000.

GCD(354228, 10000) = 4

Divide both the numerator and denominator by the GCD:

354228
10000

=

354228 ÷ 4
10000 ÷ 4

=

88557
2500
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