Converting 14.9766 to a Fraction
Step-by-step explanation of how to convert 14.9766 to a fraction

Result

14.9766 =
74883
5000
Mixed number:
14
4883
5000

Step 1: Identify the number of decimal places

The decimal 14.9766 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.9766 × 10000 = 149766

Step 3: Write as a fraction

14.9766 =

149766
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 149766 and 10000.

GCD(149766, 10000) = 2

Divide both the numerator and denominator by the GCD:

149766
10000

=

149766 ÷ 2
10000 ÷ 2

=

74883
5000
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