Rick has a collection of 6 video games. He lets his best friend borrow \(\frac{2}{6}\) of his video game collection.

Write two fractions equivalent to this number. Explain how you came up with the fractions.

1/3, and 4/12 1/3 because 2 divided by 2 equals 1, and 6 divided by 2 equals 3. 4/12 because 2 times 2 equals 4, and 6 times 2 equals 12.

Answered by Quasi | 2024-06-24

Rick lets his best friend borrow 2/6 of his video game collection. To find two fractions equivalent to 2/6, we can simplify or scale the fraction. Simplifying 2/6 involves finding a common factor between the numerator (2) and the denominator (6), which in this case is 2. Thus, 2/6 simplified is 1/3. To find another equivalent fraction, we can multiply both the numerator and the denominator of 2/6 by any non-zero number, for instance, 2. Multiplying both by 2 gives us 4/12. Therefore, two fractions equivalent to 2/6 are 1/3 and 4/12.

Answered by qwseagreen | 2024-06-24

Two fractions equivalent to 6 2 ​ are 3 1 ​ and 12 4 ​ . 3 1 ​ is found by simplifying, and 12 4 ​ is found by multiplying both the numerator and denominator of 6 2 ​ by 2. These methods show how fractions can be simplified or scaled to maintain equivalence.
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Answered by Quasi | 2024-09-30