Final answer:
The simplified fractional equivalent of the terminating decimal 0.78 is 39/50.
Step-by-step explanation:
The simplified fractional equivalent of the terminating decimal 0.78 is 39/50.
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which in this case is 3. Therefore, 78 divided by 3 is 26 and 100 divided by 3 is 33. So, the simplified fraction is 26/33. However, we can simplify this fraction further by noticing that both the numerator and denominator are divisible by 2. Dividing both by 2, we get 13/17.
Hence, the fraction 39/50 is the simplified fractional equivalent of 0.78.
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