Converting 5.414 to a Fraction
Step-by-step explanation of how to convert 5.414 to a fraction

Result

5.414 =
2707
500
Mixed number:
5
207
500

Step 1: Identify the number of decimal places

The decimal 5.414 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

5.414 × 1000 = 5414

Step 3: Write as a fraction

5.414 =

5414
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5414 and 1000.

GCD(5414, 1000) = 2

Divide both the numerator and denominator by the GCD:

5414
1000

=

5414 ÷ 2
1000 ÷ 2

=

2707
500
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