Converting 7.245 to a Fraction
Step-by-step explanation of how to convert 7.245 to a fraction

Result

7.245 =
1449
200
Mixed number:
7
49
200

Step 1: Identify the number of decimal places

The decimal 7.245 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.245 × 1000 = 7245

Step 3: Write as a fraction

7.245 =

7245
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7245 and 1000.

GCD(7245, 1000) = 5

Divide both the numerator and denominator by the GCD:

7245
1000

=

7245 ÷ 5
1000 ÷ 5

=

1449
200
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