Converting 0.3075 to a Fraction
Step-by-step explanation of how to convert 0.3075 to a fraction

Result

0.3075 =
123
400

Step 1: Identify the number of decimal places

The decimal 0.3075 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3075 × 10000 = 3075

Step 3: Write as a fraction

0.3075 =

3075
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3075 and 10000.

GCD(3075, 10000) = 25

Divide both the numerator and denominator by the GCD:

3075
10000

=

3075 ÷ 25
10000 ÷ 25

=

123
400
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