Converting 7.945 to a Fraction
Step-by-step explanation of how to convert 7.945 to a fraction

Result

7.945 =
1589
200
Mixed number:
7
189
200

Step 1: Identify the number of decimal places

The decimal 7.945 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.945 × 1000 = 7945

Step 3: Write as a fraction

7.945 =

7945
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7945 and 1000.

GCD(7945, 1000) = 5

Divide both the numerator and denominator by the GCD:

7945
1000

=

7945 ÷ 5
1000 ÷ 5

=

1589
200
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