Converting 27.752 to a Fraction
Step-by-step explanation of how to convert 27.752 to a fraction

Result

27.752 =
3469
125
Mixed number:
27
94
125

Step 1: Identify the number of decimal places

The decimal 27.752 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.752 × 1000 = 27752

Step 3: Write as a fraction

27.752 =

27752
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27752 and 1000.

GCD(27752, 1000) = 8

Divide both the numerator and denominator by the GCD:

27752
1000

=

27752 ÷ 8
1000 ÷ 8

=

3469
125
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