Converting 3.736 to a Fraction
Step-by-step explanation of how to convert 3.736 to a fraction

Result

3.736 =
467
125
Mixed number:
3
92
125

Step 1: Identify the number of decimal places

The decimal 3.736 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.736 × 1000 = 3736

Step 3: Write as a fraction

3.736 =

3736
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3736 and 1000.

GCD(3736, 1000) = 8

Divide both the numerator and denominator by the GCD:

3736
1000

=

3736 ÷ 8
1000 ÷ 8

=

467
125
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