Converting 7.285 to a Fraction
Step-by-step explanation of how to convert 7.285 to a fraction

Result

7.285 =
1457
200
Mixed number:
7
57
200

Step 1: Identify the number of decimal places

The decimal 7.285 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.285 × 1000 = 7285

Step 3: Write as a fraction

7.285 =

7285
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7285 and 1000.

GCD(7285, 1000) = 5

Divide both the numerator and denominator by the GCD:

7285
1000

=

7285 ÷ 5
1000 ÷ 5

=

1457
200
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