Converting 46.4272 to a Fraction
Step-by-step explanation of how to convert 46.4272 to a fraction

Result

46.4272 =
29017
625
Mixed number:
46
267
625

Step 1: Identify the number of decimal places

The decimal 46.4272 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.4272 × 10000 = 464272

Step 3: Write as a fraction

46.4272 =

464272
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 464272 and 10000.

GCD(464272, 10000) = 16

Divide both the numerator and denominator by the GCD:

464272
10000

=

464272 ÷ 16
10000 ÷ 16

=

29017
625
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