Converting 0.07848 to a Fraction
Step-by-step explanation of how to convert 0.07848 to a fraction

Result

0.07848 =
981
12500

Step 1: Identify the number of decimal places

The decimal 0.07848 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.07848 × 100000 = 7848

Step 3: Write as a fraction

0.07848 =

7848
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7848 and 100000.

GCD(7848, 100000) = 8

Divide both the numerator and denominator by the GCD:

7848
100000

=

7848 ÷ 8
100000 ÷ 8

=

981
12500
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