Converting 5.41408 to a Fraction
Step-by-step explanation of how to convert 5.41408 to a fraction

Result

5.41408 =
16919
3125
Mixed number:
5
1294
3125

Step 1: Identify the number of decimal places

The decimal 5.41408 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.41408 × 100000 = 541408

Step 3: Write as a fraction

5.41408 =

541408
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 541408 and 100000.

GCD(541408, 100000) = 32

Divide both the numerator and denominator by the GCD:

541408
100000

=

541408 ÷ 32
100000 ÷ 32

=

16919
3125
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