Converting 0.8743 to a Fraction
Step-by-step explanation of how to convert 0.8743 to a fraction

Result

0.8743 =
8743
10000

Step 1: Identify the number of decimal places

The decimal 0.8743 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.8743 × 10000 = 8743

Step 3: Write as a fraction

0.8743 =

8743
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8743 and 10000.

GCD(8743, 10000) = 1

Divide both the numerator and denominator by the GCD:

8743
10000

=

8743 ÷ 1
10000 ÷ 1

=

8743
10000
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