Converting 3.4744 to a Fraction
Step-by-step explanation of how to convert 3.4744 to a fraction
Result
3.4744 =
4343
1250
Mixed number:
3
593
1250
Step 1: Identify the number of decimal places
The decimal 3.4744 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.4744 × 10000 = 34744
Step 3: Write as a fraction
3.4744 =
34744
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 34744 and 10000.
GCD(34744, 10000) = 8
Divide both the numerator and denominator by the GCD:
34744
10000
=
34744 ÷ 8
10000 ÷ 8
=
4343
1250
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