Converting 47.77344 to a Fraction
Step-by-step explanation of how to convert 47.77344 to a fraction

Result

47.77344 =
149292
3125
Mixed number:
47
2417
3125

Step 1: Identify the number of decimal places

The decimal 47.77344 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.77344 × 100000 = 4777344

Step 3: Write as a fraction

47.77344 =

4777344
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4777344 and 100000.

GCD(4777344, 100000) = 32

Divide both the numerator and denominator by the GCD:

4777344
100000

=

4777344 ÷ 32
100000 ÷ 32

=

149292
3125
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