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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