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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