The fraction equivalent to (1) 2/3 is a) 10/3 b) 3/5 c) 10/6 d) 6/10
The Correct Answer and Explanation is:
The correct answer is c) 10/6.
Explanation:
A fraction like 2/3 represents a ratio of 2 to 3. To find an equivalent fraction, you can multiply both the numerator (the top number) and the denominator (the bottom number) by the same value. This process does not change the value of the fraction, but it alters its form.
For example, we can multiply both the numerator and the denominator of 2/3 by 5:23×55=2×53×5=1015\frac{2}{3} \times \frac{5}{5} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}32×55=3×52×5=1510
This is a valid equivalent fraction.
However, we are looking for an option that is simpler. If we multiply both the numerator and the denominator of 2/3 by 5/3, we get:23×55=106\frac{2}{3} \times \frac{5}{5} = \frac{10}{6}32×55=610
This fraction is equivalent to 2/3, but it looks different because the numbers have been scaled up. Importantly, both 10/6 and 2/3 represent the same ratio.
So, the correct fraction equivalent to 2/3 from the given options is 10/6.
