Converting 45.9792 to a Fraction
Step-by-step explanation of how to convert 45.9792 to a fraction
Result
45.9792 =
28737
625
Mixed number:
45
612
625
Step 1: Identify the number of decimal places
The decimal 45.9792 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
45.9792 × 10000 = 459792
Step 3: Write as a fraction
45.9792 =
459792
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 459792 and 10000.
GCD(459792, 10000) = 16
Divide both the numerator and denominator by the GCD:
459792
10000
=
459792 ÷ 16
10000 ÷ 16
=
28737
625
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