Converting 45.876 to a Fraction
Step-by-step explanation of how to convert 45.876 to a fraction
Result
45.876 =
11469
250
Mixed number:
45
219
250
Step 1: Identify the number of decimal places
The decimal 45.876 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
45.876 × 1000 = 45876
Step 3: Write as a fraction
45.876 =
45876
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 45876 and 1000.
GCD(45876, 1000) = 4
Divide both the numerator and denominator by the GCD:
45876
1000
=
45876 ÷ 4
1000 ÷ 4
=
11469
250
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