Converting 5.14688 to a Fraction
Step-by-step explanation of how to convert 5.14688 to a fraction

Result

5.14688 =
16084
3125
Mixed number:
5
459
3125

Step 1: Identify the number of decimal places

The decimal 5.14688 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.14688 × 100000 = 514688

Step 3: Write as a fraction

5.14688 =

514688
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 514688 and 100000.

GCD(514688, 100000) = 32

Divide both the numerator and denominator by the GCD:

514688
100000

=

514688 ÷ 32
100000 ÷ 32

=

16084
3125
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