Converting 7.1345 to a Fraction
Step-by-step explanation of how to convert 7.1345 to a fraction

Result

7.1345 =
14269
2000
Mixed number:
7
269
2000

Step 1: Identify the number of decimal places

The decimal 7.1345 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.1345 × 10000 = 71345

Step 3: Write as a fraction

7.1345 =

71345
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 71345 and 10000.

GCD(71345, 10000) = 5

Divide both the numerator and denominator by the GCD:

71345
10000

=

71345 ÷ 5
10000 ÷ 5

=

14269
2000
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