Converting 0.1464 to a Fraction
Step-by-step explanation of how to convert 0.1464 to a fraction

Result

0.1464 =
183
1250

Step 1: Identify the number of decimal places

The decimal 0.1464 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1464 × 10000 = 1464

Step 3: Write as a fraction

0.1464 =

1464
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1464 and 10000.

GCD(1464, 10000) = 8

Divide both the numerator and denominator by the GCD:

1464
10000

=

1464 ÷ 8
10000 ÷ 8

=

183
1250
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