Converting 4.09768 to a Fraction
Step-by-step explanation of how to convert 4.09768 to a fraction
Result
4.09768 =
51221
12500
Mixed number:
4
1221
12500
Step 1: Identify the number of decimal places
The decimal 4.09768 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
4.09768 × 100000 = 409768
Step 3: Write as a fraction
4.09768 =
409768
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 409768 and 100000.
GCD(409768, 100000) = 8
Divide both the numerator and denominator by the GCD:
409768
100000
=
409768 ÷ 8
100000 ÷ 8
=
51221
12500
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