Converting 0.0975 to a Fraction
Step-by-step explanation of how to convert 0.0975 to a fraction

Result

0.0975 =
39
400

Step 1: Identify the number of decimal places

The decimal 0.0975 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.0975 × 10000 = 975

Step 3: Write as a fraction

0.0975 =

975
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 975 and 10000.

GCD(975, 10000) = 25

Divide both the numerator and denominator by the GCD:

975
10000

=

975 ÷ 25
10000 ÷ 25

=

39
400
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