Dividing a fraction by another fraction involves multiplication by the reciprocal of the second fraction. In this case, (1/2) divided by (3/5) equals (1/2) times (5/3), which is 5/6. Therefore, the correct answers are Option 1: 5/6 and Option 3: 5/6.
The problem involves calculating the value when (1/2) is divided by (3/5). In mathematics, dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 3/5 is 5/3. Therefore, (1/2) divided by (3/5) becomes (1/2) times (5/3).
- To multiply two fractions, you multiply the numerators (top number) together and the denominators (bottom number) together.
- So, (1/2) times (5/3) equals 5/6.
Therefore, among the options given, Option 1: 5/6 and Option 3: 5/6 are correct.
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