Converting 46.976128 to a Fraction
Step-by-step explanation of how to convert 46.976128 to a fraction

Result

46.976128 =
734002
15625
Mixed number:
46
15252
15625

Step 1: Identify the number of decimal places

The decimal 46.976128 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

46.976128 × 1000000 = 46976128

Step 3: Write as a fraction

46.976128 =

46976128
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46976128 and 1000000.

GCD(46976128, 1000000) = 64

Divide both the numerator and denominator by the GCD:

46976128
1000000

=

46976128 ÷ 64
1000000 ÷ 64

=

734002
15625
Related Conversions
Other decimal to fraction conversions you might find useful