Converting 1.466 to a Fraction
Step-by-step explanation of how to convert 1.466 to a fraction

Result

1.466 =
733
500
Mixed number:
1
233
500

Step 1: Identify the number of decimal places

The decimal 1.466 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.466 × 1000 = 1466

Step 3: Write as a fraction

1.466 =

1466
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1466 and 1000.

GCD(1466, 1000) = 2

Divide both the numerator and denominator by the GCD:

1466
1000

=

1466 ÷ 2
1000 ÷ 2

=

733
500
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