Converting 6.625 to a Fraction
Step-by-step explanation of how to convert 6.625 to a fraction
Result
6.625 =
53
8
Mixed number:
6
5
8
Step 1: Identify the number of decimal places
The decimal 6.625 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.625 × 1000 = 6625
Step 3: Write as a fraction
6.625 =
6625
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6625 and 1000.
GCD(6625, 1000) = 125
Divide both the numerator and denominator by the GCD:
6625
1000
=
6625 ÷ 125
1000 ÷ 125
=
53
8
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