Converting 0.7857 to a Fraction
Step-by-step explanation of how to convert 0.7857 to a fraction

Result

0.7857 =
7857
10000

Step 1: Identify the number of decimal places

The decimal 0.7857 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.7857 × 10000 = 7857

Step 3: Write as a fraction

0.7857 =

7857
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7857 and 10000.

GCD(7857, 10000) = 1

Divide both the numerator and denominator by the GCD:

7857
10000

=

7857 ÷ 1
10000 ÷ 1

=

7857
10000
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