Converting 0.336 to a Fraction
Step-by-step explanation of how to convert 0.336 to a fraction

Result

0.336 =
42
125

Step 1: Identify the number of decimal places

The decimal 0.336 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.336 × 1000 = 336

Step 3: Write as a fraction

0.336 =

336
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 336 and 1000.

GCD(336, 1000) = 8

Divide both the numerator and denominator by the GCD:

336
1000

=

336 ÷ 8
1000 ÷ 8

=

42
125
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