Converting 45.624 to a Fraction
Step-by-step explanation of how to convert 45.624 to a fraction
Result
45.624 =
5703
125
Mixed number:
45
78
125
Step 1: Identify the number of decimal places
The decimal 45.624 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
45.624 × 1000 = 45624
Step 3: Write as a fraction
45.624 =
45624
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 45624 and 1000.
GCD(45624, 1000) = 8
Divide both the numerator and denominator by the GCD:
45624
1000
=
45624 ÷ 8
1000 ÷ 8
=
5703
125
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