Converting 81.4 to a Fraction
Step-by-step explanation of how to convert 81.4 to a fraction
Result
81.4 =
407
5
Mixed number:
81
2
5
Step 1: Identify the number of decimal places
The decimal 81.4 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
81.4 × 10 = 814
Step 3: Write as a fraction
81.4 =
814
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 814 and 10.
GCD(814, 10) = 2
Divide both the numerator and denominator by the GCD:
814
10
=
814 ÷ 2
10 ÷ 2
=
407
5
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