Converting 10.3975 to a Fraction
Step-by-step explanation of how to convert 10.3975 to a fraction

Result

10.3975 =
4159
400
Mixed number:
10
159
400

Step 1: Identify the number of decimal places

The decimal 10.3975 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.3975 × 10000 = 103975

Step 3: Write as a fraction

10.3975 =

103975
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 103975 and 10000.

GCD(103975, 10000) = 25

Divide both the numerator and denominator by the GCD:

103975
10000

=

103975 ÷ 25
10000 ÷ 25

=

4159
400
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