Converting 47.7768 to a Fraction
Step-by-step explanation of how to convert 47.7768 to a fraction
Result
47.7768 =
59721
1250
Mixed number:
47
971
1250
Step 1: Identify the number of decimal places
The decimal 47.7768 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
47.7768 × 10000 = 477768
Step 3: Write as a fraction
47.7768 =
477768
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 477768 and 10000.
GCD(477768, 10000) = 8
Divide both the numerator and denominator by the GCD:
477768
10000
=
477768 ÷ 8
10000 ÷ 8
=
59721
1250
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