Converting 1.456 to a Fraction
Step-by-step explanation of how to convert 1.456 to a fraction
Result
1.456 =
182
125
Mixed number:
1
57
125
Step 1: Identify the number of decimal places
The decimal 1.456 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.456 × 1000 = 1456
Step 3: Write as a fraction
1.456 =
1456
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1456 and 1000.
GCD(1456, 1000) = 8
Divide both the numerator and denominator by the GCD:
1456
1000
=
1456 ÷ 8
1000 ÷ 8
=
182
125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions