Converting 0.434 to a Fraction
Step-by-step explanation of how to convert 0.434 to a fraction

Result

0.434 =
217
500

Step 1: Identify the number of decimal places

The decimal 0.434 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.434 × 1000 = 434

Step 3: Write as a fraction

0.434 =

434
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 434 and 1000.

GCD(434, 1000) = 2

Divide both the numerator and denominator by the GCD:

434
1000

=

434 ÷ 2
1000 ÷ 2

=

217
500
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