Converting 15.735 to a Fraction
Step-by-step explanation of how to convert 15.735 to a fraction
Result
15.735 =
3147
200
Mixed number:
15
147
200
Step 1: Identify the number of decimal places
The decimal 15.735 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
15.735 × 1000 = 15735
Step 3: Write as a fraction
15.735 =
15735
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 15735 and 1000.
GCD(15735, 1000) = 5
Divide both the numerator and denominator by the GCD:
15735
1000
=
15735 ÷ 5
1000 ÷ 5
=
3147
200
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