Converting 8.7424 to a Fraction
Step-by-step explanation of how to convert 8.7424 to a fraction

Result

8.7424 =
5464
625
Mixed number:
8
464
625

Step 1: Identify the number of decimal places

The decimal 8.7424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.7424 × 10000 = 87424

Step 3: Write as a fraction

8.7424 =

87424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 87424 and 10000.

GCD(87424, 10000) = 16

Divide both the numerator and denominator by the GCD:

87424
10000

=

87424 ÷ 16
10000 ÷ 16

=

5464
625
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