Converting 14.7975 to a Fraction
Step-by-step explanation of how to convert 14.7975 to a fraction

Result

14.7975 =
5919
400
Mixed number:
14
319
400

Step 1: Identify the number of decimal places

The decimal 14.7975 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.7975 × 10000 = 147975

Step 3: Write as a fraction

14.7975 =

147975
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 147975 and 10000.

GCD(147975, 10000) = 25

Divide both the numerator and denominator by the GCD:

147975
10000

=

147975 ÷ 25
10000 ÷ 25

=

5919
400
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