Converting 47.84416 to a Fraction
Step-by-step explanation of how to convert 47.84416 to a fraction

Result

47.84416 =
149513
3125
Mixed number:
47
2638
3125

Step 1: Identify the number of decimal places

The decimal 47.84416 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.84416 × 100000 = 4784416

Step 3: Write as a fraction

47.84416 =

4784416
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4784416 and 100000.

GCD(4784416, 100000) = 32

Divide both the numerator and denominator by the GCD:

4784416
100000

=

4784416 ÷ 32
100000 ÷ 32

=

149513
3125
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