Converting 0.53415 to a Fraction
Step-by-step explanation of how to convert 0.53415 to a fraction

Result

0.53415 =
10683
20000

Step 1: Identify the number of decimal places

The decimal 0.53415 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.53415 × 100000 = 53415

Step 3: Write as a fraction

0.53415 =

53415
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 53415 and 100000.

GCD(53415, 100000) = 5

Divide both the numerator and denominator by the GCD:

53415
100000

=

53415 ÷ 5
100000 ÷ 5

=

10683
20000
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