Converting 0.456875 to a Fraction
Step-by-step explanation of how to convert 0.456875 to a fraction

Result

0.456875 =
731
1600

Step 1: Identify the number of decimal places

The decimal 0.456875 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.456875 × 1000000 = 456875

Step 3: Write as a fraction

0.456875 =

456875
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 456875 and 1000000.

GCD(456875, 1000000) = 625

Divide both the numerator and denominator by the GCD:

456875
1000000

=

456875 ÷ 625
1000000 ÷ 625

=

731
1600
Related Conversions
Other decimal to fraction conversions you might find useful