What is \(\frac{2}{8}\) divided by \(\frac{5}{16}\), simplified in fraction form?

8 2 ​ ÷ 16 5 ​ = 8 2 ​ × 5 16 ​ = 4 1 ​ × 5 16 ​ = 5 4 ​ = 0.8

Answered by TSO | 2024-06-10

The division of 2/8 by 5/16, simplified as a fraction , is 4/5.
To divide 2/8 by 5/16, we multiply 2/8 by the reciprocal of 5/16.
Reciprocal of 5/16 is 16/5.
So, (2/8) ÷ (5/16)
= (2/8) × (16/5)
2/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
2/8 = (2/2) / (8/2) = 1/4
Now we have:
(1/4)×(16/5)
To multiply fractions , we simply multiply the numerators and multiply the denominators:
(1 × 16) / (4 × 5) = 16/20
The fraction 16/20 can be further simplified by dividing both the numerator and denominator by their** greatest common divisor**, which is 4.
16/20 = (16/4) / (20/4) = 4/5
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Answered by pukhrajvt | 2024-06-17

The result of 8 2 ​ divided by 16 5 ​ is 5 4 ​ . We achieve this by converting the division into multiplication using the reciprocal. Finally, we simplify the fraction to arrive at the answer.
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Answered by TSO | 2024-10-10