Converting 21.4 to a Fraction
Step-by-step explanation of how to convert 21.4 to a fraction
Result
21.4 =
107
5
Mixed number:
21
2
5
Step 1: Identify the number of decimal places
The decimal 21.4 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
21.4 × 10 = 214
Step 3: Write as a fraction
21.4 =
214
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 214 and 10.
GCD(214, 10) = 2
Divide both the numerator and denominator by the GCD:
214
10
=
214 ÷ 2
10 ÷ 2
=
107
5
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