Converting 0.87125 to a Fraction
Step-by-step explanation of how to convert 0.87125 to a fraction

Result

0.87125 =
697
800

Step 1: Identify the number of decimal places

The decimal 0.87125 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.87125 × 100000 = 87125

Step 3: Write as a fraction

0.87125 =

87125
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 87125 and 100000.

GCD(87125, 100000) = 125

Divide both the numerator and denominator by the GCD:

87125
100000

=

87125 ÷ 125
100000 ÷ 125

=

697
800
Related Conversions
Other decimal to fraction conversions you might find useful