Converting 45.7148 to a Fraction
Step-by-step explanation of how to convert 45.7148 to a fraction

Result

45.7148 =
114287
2500
Mixed number:
45
1787
2500

Step 1: Identify the number of decimal places

The decimal 45.7148 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

45.7148 × 10000 = 457148

Step 3: Write as a fraction

45.7148 =

457148
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 457148 and 10000.

GCD(457148, 10000) = 4

Divide both the numerator and denominator by the GCD:

457148
10000

=

457148 ÷ 4
10000 ÷ 4

=

114287
2500
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