Converting 45.8148 to a Fraction
Step-by-step explanation of how to convert 45.8148 to a fraction

Result

45.8148 =
114537
2500
Mixed number:
45
2037
2500

Step 1: Identify the number of decimal places

The decimal 45.8148 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

45.8148 × 10000 = 458148

Step 3: Write as a fraction

45.8148 =

458148
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 458148 and 10000.

GCD(458148, 10000) = 4

Divide both the numerator and denominator by the GCD:

458148
10000

=

458148 ÷ 4
10000 ÷ 4

=

114537
2500
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