Converting 46.2964 to a Fraction
Step-by-step explanation of how to convert 46.2964 to a fraction

Result

46.2964 =
115741
2500
Mixed number:
46
741
2500

Step 1: Identify the number of decimal places

The decimal 46.2964 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.2964 × 10000 = 462964

Step 3: Write as a fraction

46.2964 =

462964
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 462964 and 10000.

GCD(462964, 10000) = 4

Divide both the numerator and denominator by the GCD:

462964
10000

=

462964 ÷ 4
10000 ÷ 4

=

115741
2500
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