Converting 4.475 to a Fraction
Step-by-step explanation of how to convert 4.475 to a fraction
Result
4.475 =
179
40
Mixed number:
4
19
40
Step 1: Identify the number of decimal places
The decimal 4.475 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.475 × 1000 = 4475
Step 3: Write as a fraction
4.475 =
4475
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4475 and 1000.
GCD(4475, 1000) = 25
Divide both the numerator and denominator by the GCD:
4475
1000
=
4475 ÷ 25
1000 ÷ 25
=
179
40
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