Converting 7.445 to a Fraction
Step-by-step explanation of how to convert 7.445 to a fraction

Result

7.445 =
1489
200
Mixed number:
7
89
200

Step 1: Identify the number of decimal places

The decimal 7.445 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.445 × 1000 = 7445

Step 3: Write as a fraction

7.445 =

7445
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7445 and 1000.

GCD(7445, 1000) = 5

Divide both the numerator and denominator by the GCD:

7445
1000

=

7445 ÷ 5
1000 ÷ 5

=

1489
200
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