Converting 46.7072 to a Fraction
Step-by-step explanation of how to convert 46.7072 to a fraction

Result

46.7072 =
29192
625
Mixed number:
46
442
625

Step 1: Identify the number of decimal places

The decimal 46.7072 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.7072 × 10000 = 467072

Step 3: Write as a fraction

46.7072 =

467072
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 467072 and 10000.

GCD(467072, 10000) = 16

Divide both the numerator and denominator by the GCD:

467072
10000

=

467072 ÷ 16
10000 ÷ 16

=

29192
625
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