Converting 19.7724 to a Fraction
Step-by-step explanation of how to convert 19.7724 to a fraction
Result
19.7724 =
49431
2500
Mixed number:
19
1931
2500
Step 1: Identify the number of decimal places
The decimal 19.7724 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
19.7724 × 10000 = 197724
Step 3: Write as a fraction
19.7724 =
197724
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 197724 and 10000.
GCD(197724, 10000) = 4
Divide both the numerator and denominator by the GCD:
197724
10000
=
197724 ÷ 4
10000 ÷ 4
=
49431
2500
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