Converting 6.5145 to a Fraction
Step-by-step explanation of how to convert 6.5145 to a fraction

Result

6.5145 =
13029
2000
Mixed number:
6
1029
2000

Step 1: Identify the number of decimal places

The decimal 6.5145 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.5145 × 10000 = 65145

Step 3: Write as a fraction

6.5145 =

65145
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 65145 and 10000.

GCD(65145, 10000) = 5

Divide both the numerator and denominator by the GCD:

65145
10000

=

65145 ÷ 5
10000 ÷ 5

=

13029
2000
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