Converting 9.8778 to a Fraction
Step-by-step explanation of how to convert 9.8778 to a fraction

Result

9.8778 =
49389
5000
Mixed number:
9
4389
5000

Step 1: Identify the number of decimal places

The decimal 9.8778 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

9.8778 × 10000 = 98778

Step 3: Write as a fraction

9.8778 =

98778
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 98778 and 10000.

GCD(98778, 10000) = 2

Divide both the numerator and denominator by the GCD:

98778
10000

=

98778 ÷ 2
10000 ÷ 2

=

49389
5000
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