Converting 0.345728 to a Fraction
Step-by-step explanation of how to convert 0.345728 to a fraction

Result

0.345728 =
5402
15625

Step 1: Identify the number of decimal places

The decimal 0.345728 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.345728 × 1000000 = 345728

Step 3: Write as a fraction

0.345728 =

345728
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 345728 and 1000000.

GCD(345728, 1000000) = 64

Divide both the numerator and denominator by the GCD:

345728
1000000

=

345728 ÷ 64
1000000 ÷ 64

=

5402
15625
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