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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