Converting 46.1496 to a Fraction
Step-by-step explanation of how to convert 46.1496 to a fraction

Result

46.1496 =
57687
1250
Mixed number:
46
187
1250

Step 1: Identify the number of decimal places

The decimal 46.1496 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.1496 × 10000 = 461496

Step 3: Write as a fraction

46.1496 =

461496
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 461496 and 10000.

GCD(461496, 10000) = 8

Divide both the numerator and denominator by the GCD:

461496
10000

=

461496 ÷ 8
10000 ÷ 8

=

57687
1250
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