Converting 1.45878 to a Fraction
Step-by-step explanation of how to convert 1.45878 to a fraction

Result

1.45878 =
72939
50000
Mixed number:
1
22939
50000

Step 1: Identify the number of decimal places

The decimal 1.45878 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

1.45878 × 100000 = 145878

Step 3: Write as a fraction

1.45878 =

145878
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 145878 and 100000.

GCD(145878, 100000) = 2

Divide both the numerator and denominator by the GCD:

145878
100000

=

145878 ÷ 2
100000 ÷ 2

=

72939
50000
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