Converting 7.355 to a Fraction
Step-by-step explanation of how to convert 7.355 to a fraction

Result

7.355 =
1471
200
Mixed number:
7
71
200

Step 1: Identify the number of decimal places

The decimal 7.355 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.355 × 1000 = 7355

Step 3: Write as a fraction

7.355 =

7355
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7355 and 1000.

GCD(7355, 1000) = 5

Divide both the numerator and denominator by the GCD:

7355
1000

=

7355 ÷ 5
1000 ÷ 5

=

1471
200
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