Converting 43.314 to a Fraction
Step-by-step explanation of how to convert 43.314 to a fraction

Result

43.314 =
21657
500
Mixed number:
43
157
500

Step 1: Identify the number of decimal places

The decimal 43.314 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

43.314 × 1000 = 43314

Step 3: Write as a fraction

43.314 =

43314
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 43314 and 1000.

GCD(43314, 1000) = 2

Divide both the numerator and denominator by the GCD:

43314
1000

=

43314 ÷ 2
1000 ÷ 2

=

21657
500
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