Converting 7.656 to a Fraction
Step-by-step explanation of how to convert 7.656 to a fraction
Result
7.656 =
957
125
Mixed number:
7
82
125
Step 1: Identify the number of decimal places
The decimal 7.656 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
7.656 × 1000 = 7656
Step 3: Write as a fraction
7.656 =
7656
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7656 and 1000.
GCD(7656, 1000) = 8
Divide both the numerator and denominator by the GCD:
7656
1000
=
7656 ÷ 8
1000 ÷ 8
=
957
125
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