Converting 4.1975 to a Fraction
Step-by-step explanation of how to convert 4.1975 to a fraction

Result

4.1975 =
1679
400
Mixed number:
4
79
400

Step 1: Identify the number of decimal places

The decimal 4.1975 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.1975 × 10000 = 41975

Step 3: Write as a fraction

4.1975 =

41975
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41975 and 10000.

GCD(41975, 10000) = 25

Divide both the numerator and denominator by the GCD:

41975
10000

=

41975 ÷ 25
10000 ÷ 25

=

1679
400
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