Converting 15.4744 to a Fraction
Step-by-step explanation of how to convert 15.4744 to a fraction
Result
15.4744 =
19343
1250
Mixed number:
15
593
1250
Step 1: Identify the number of decimal places
The decimal 15.4744 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.4744 × 10000 = 154744
Step 3: Write as a fraction
15.4744 =
154744
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 154744 and 10000.
GCD(154744, 10000) = 8
Divide both the numerator and denominator by the GCD:
154744
10000
=
154744 ÷ 8
10000 ÷ 8
=
19343
1250
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