Converting 98.7648 to a Fraction
Step-by-step explanation of how to convert 98.7648 to a fraction

Result

98.7648 =
61728
625
Mixed number:
98
478
625

Step 1: Identify the number of decimal places

The decimal 98.7648 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

98.7648 × 10000 = 987648

Step 3: Write as a fraction

98.7648 =

987648
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 987648 and 10000.

GCD(987648, 10000) = 16

Divide both the numerator and denominator by the GCD:

987648
10000

=

987648 ÷ 16
10000 ÷ 16

=

61728
625
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