Converting 1.14728 to a Fraction
Step-by-step explanation of how to convert 1.14728 to a fraction

Result

1.14728 =
14341
12500
Mixed number:
1
1841
12500

Step 1: Identify the number of decimal places

The decimal 1.14728 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.14728 × 100000 = 114728

Step 3: Write as a fraction

1.14728 =

114728
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 114728 and 100000.

GCD(114728, 100000) = 8

Divide both the numerator and denominator by the GCD:

114728
100000

=

114728 ÷ 8
100000 ÷ 8

=

14341
12500
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