Converting 47.76352 to a Fraction
Step-by-step explanation of how to convert 47.76352 to a fraction

Result

47.76352 =
149261
3125
Mixed number:
47
2386
3125

Step 1: Identify the number of decimal places

The decimal 47.76352 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.76352 × 100000 = 4776352

Step 3: Write as a fraction

47.76352 =

4776352
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4776352 and 100000.

GCD(4776352, 100000) = 32

Divide both the numerator and denominator by the GCD:

4776352
100000

=

4776352 ÷ 32
100000 ÷ 32

=

149261
3125
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