Converting 78.964 to a Fraction
Step-by-step explanation of how to convert 78.964 to a fraction
Result
78.964 =
19741
250
Mixed number:
78
241
250
Step 1: Identify the number of decimal places
The decimal 78.964 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
78.964 × 1000 = 78964
Step 3: Write as a fraction
78.964 =
78964
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 78964 and 1000.
GCD(78964, 1000) = 4
Divide both the numerator and denominator by the GCD:
78964
1000
=
78964 ÷ 4
1000 ÷ 4
=
19741
250
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