Converting 46.2072 to a Fraction
Step-by-step explanation of how to convert 46.2072 to a fraction

Result

46.2072 =
57759
1250
Mixed number:
46
259
1250

Step 1: Identify the number of decimal places

The decimal 46.2072 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.2072 × 10000 = 462072

Step 3: Write as a fraction

46.2072 =

462072
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 462072 and 10000.

GCD(462072, 10000) = 8

Divide both the numerator and denominator by the GCD:

462072
10000

=

462072 ÷ 8
10000 ÷ 8

=

57759
1250
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