Converting 4.07742 to a Fraction
Step-by-step explanation of how to convert 4.07742 to a fraction
Result
4.07742 =
203871
50000
Mixed number:
4
3871
50000
Step 1: Identify the number of decimal places
The decimal 4.07742 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
4.07742 × 100000 = 407742
Step 3: Write as a fraction
4.07742 =
407742
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 407742 and 100000.
GCD(407742, 100000) = 2
Divide both the numerator and denominator by the GCD:
407742
100000
=
407742 ÷ 2
100000 ÷ 2
=
203871
50000
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