Converting 8.4376 to a Fraction
Step-by-step explanation of how to convert 8.4376 to a fraction

Result

8.4376 =
10547
1250
Mixed number:
8
547
1250

Step 1: Identify the number of decimal places

The decimal 8.4376 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.4376 × 10000 = 84376

Step 3: Write as a fraction

8.4376 =

84376
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 84376 and 10000.

GCD(84376, 10000) = 8

Divide both the numerator and denominator by the GCD:

84376
10000

=

84376 ÷ 8
10000 ÷ 8

=

10547
1250
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