Converting 7.585 to a Fraction
Step-by-step explanation of how to convert 7.585 to a fraction

Result

7.585 =
1517
200
Mixed number:
7
117
200

Step 1: Identify the number of decimal places

The decimal 7.585 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.585 × 1000 = 7585

Step 3: Write as a fraction

7.585 =

7585
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7585 and 1000.

GCD(7585, 1000) = 5

Divide both the numerator and denominator by the GCD:

7585
1000

=

7585 ÷ 5
1000 ÷ 5

=

1517
200
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