Converting 49.76448 to a Fraction
Step-by-step explanation of how to convert 49.76448 to a fraction
Result
49.76448 =
155514
3125
Mixed number:
49
2389
3125
Step 1: Identify the number of decimal places
The decimal 49.76448 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
49.76448 × 100000 = 4976448
Step 3: Write as a fraction
49.76448 =
4976448
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4976448 and 100000.
GCD(4976448, 100000) = 32
Divide both the numerator and denominator by the GCD:
4976448
100000
=
4976448 ÷ 32
100000 ÷ 32
=
155514
3125
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