Converting 15.40772 to a Fraction
Step-by-step explanation of how to convert 15.40772 to a fraction
Result
15.40772 =
385193
25000
Mixed number:
15
10193
25000
Step 1: Identify the number of decimal places
The decimal 15.40772 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
15.40772 × 100000 = 1540772
Step 3: Write as a fraction
15.40772 =
1540772
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1540772 and 100000.
GCD(1540772, 100000) = 4
Divide both the numerator and denominator by the GCD:
1540772
100000
=
1540772 ÷ 4
100000 ÷ 4
=
385193
25000
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