Converting 1.4576 to a Fraction
Step-by-step explanation of how to convert 1.4576 to a fraction

Result

1.4576 =
911
625
Mixed number:
1
286
625

Step 1: Identify the number of decimal places

The decimal 1.4576 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.4576 × 10000 = 14576

Step 3: Write as a fraction

1.4576 =

14576
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14576 and 10000.

GCD(14576, 10000) = 16

Divide both the numerator and denominator by the GCD:

14576
10000

=

14576 ÷ 16
10000 ÷ 16

=

911
625
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