Converting 35.798464 to a Fraction
Step-by-step explanation of how to convert 35.798464 to a fraction

Result

35.798464 =
559351
15625
Mixed number:
35
12476
15625

Step 1: Identify the number of decimal places

The decimal 35.798464 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

35.798464 × 1000000 = 35798464

Step 3: Write as a fraction

35.798464 =

35798464
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35798464 and 1000000.

GCD(35798464, 1000000) = 64

Divide both the numerator and denominator by the GCD:

35798464
1000000

=

35798464 ÷ 64
1000000 ÷ 64

=

559351
15625
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