Converting 0.152225 to a Fraction
Step-by-step explanation of how to convert 0.152225 to a fraction

Result

0.152225 =
6089
40000

Step 1: Identify the number of decimal places

The decimal 0.152225 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.152225 × 1000000 = 152225

Step 3: Write as a fraction

0.152225 =

152225
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 152225 and 1000000.

GCD(152225, 1000000) = 25

Divide both the numerator and denominator by the GCD:

152225
1000000

=

152225 ÷ 25
1000000 ÷ 25

=

6089
40000
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