Converting 1.4768 to a Fraction
Step-by-step explanation of how to convert 1.4768 to a fraction
Result
1.4768 =
923
625
Mixed number:
1
298
625
Step 1: Identify the number of decimal places
The decimal 1.4768 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.4768 × 10000 = 14768
Step 3: Write as a fraction
1.4768 =
14768
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 14768 and 10000.
GCD(14768, 10000) = 16
Divide both the numerator and denominator by the GCD:
14768
10000
=
14768 ÷ 16
10000 ÷ 16
=
923
625
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