Converting 3.784 to a Fraction
Step-by-step explanation of how to convert 3.784 to a fraction
Result
3.784 =
473
125
Mixed number:
3
98
125
Step 1: Identify the number of decimal places
The decimal 3.784 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
3.784 × 1000 = 3784
Step 3: Write as a fraction
3.784 =
3784
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3784 and 1000.
GCD(3784, 1000) = 8
Divide both the numerator and denominator by the GCD:
3784
1000
=
3784 ÷ 8
1000 ÷ 8
=
473
125
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