Converting 46.785 to a Fraction
Step-by-step explanation of how to convert 46.785 to a fraction

Result

46.785 =
9357
200
Mixed number:
46
157
200

Step 1: Identify the number of decimal places

The decimal 46.785 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

46.785 × 1000 = 46785

Step 3: Write as a fraction

46.785 =

46785
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46785 and 1000.

GCD(46785, 1000) = 5

Divide both the numerator and denominator by the GCD:

46785
1000

=

46785 ÷ 5
1000 ÷ 5

=

9357
200
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