Converting 3.792 to a Fraction
Step-by-step explanation of how to convert 3.792 to a fraction

Result

3.792 =
474
125
Mixed number:
3
99
125

Step 1: Identify the number of decimal places

The decimal 3.792 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.792 × 1000 = 3792

Step 3: Write as a fraction

3.792 =

3792
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3792 and 1000.

GCD(3792, 1000) = 8

Divide both the numerator and denominator by the GCD:

3792
1000

=

3792 ÷ 8
1000 ÷ 8

=

474
125
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