Converting 1.02078 to a Fraction
Step-by-step explanation of how to convert 1.02078 to a fraction

Result

1.02078 =
51039
50000
Mixed number:
1
1039
50000

Step 1: Identify the number of decimal places

The decimal 1.02078 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.02078 × 100000 = 102078

Step 3: Write as a fraction

1.02078 =

102078
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 102078 and 100000.

GCD(102078, 100000) = 2

Divide both the numerator and denominator by the GCD:

102078
100000

=

102078 ÷ 2
100000 ÷ 2

=

51039
50000
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