Converting 0.344 to a Fraction
Step-by-step explanation of how to convert 0.344 to a fraction

Result

0.344 =
43
125

Step 1: Identify the number of decimal places

The decimal 0.344 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.344 × 1000 = 344

Step 3: Write as a fraction

0.344 =

344
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 344 and 1000.

GCD(344, 1000) = 8

Divide both the numerator and denominator by the GCD:

344
1000

=

344 ÷ 8
1000 ÷ 8

=

43
125
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