Converting 7.898 to a Fraction
Step-by-step explanation of how to convert 7.898 to a fraction

Result

7.898 =
3949
500
Mixed number:
7
449
500

Step 1: Identify the number of decimal places

The decimal 7.898 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.898 × 1000 = 7898

Step 3: Write as a fraction

7.898 =

7898
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7898 and 1000.

GCD(7898, 1000) = 2

Divide both the numerator and denominator by the GCD:

7898
1000

=

7898 ÷ 2
1000 ÷ 2

=

3949
500
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