Converting 1.509875 to a Fraction
Step-by-step explanation of how to convert 1.509875 to a fraction

Result

1.509875 =
12079
8000
Mixed number:
1
4079
8000

Step 1: Identify the number of decimal places

The decimal 1.509875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

1.509875 × 1000000 = 1509875

Step 3: Write as a fraction

1.509875 =

1509875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1509875 and 1000000.

GCD(1509875, 1000000) = 125

Divide both the numerator and denominator by the GCD:

1509875
1000000

=

1509875 ÷ 125
1000000 ÷ 125

=

12079
8000
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