Converting 84.49408 to a Fraction
Step-by-step explanation of how to convert 84.49408 to a fraction

Result

84.49408 =
264044
3125
Mixed number:
84
1544
3125

Step 1: Identify the number of decimal places

The decimal 84.49408 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

84.49408 × 100000 = 8449408

Step 3: Write as a fraction

84.49408 =

8449408
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8449408 and 100000.

GCD(8449408, 100000) = 32

Divide both the numerator and denominator by the GCD:

8449408
100000

=

8449408 ÷ 32
100000 ÷ 32

=

264044
3125
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