Final answer:
Jessica's purchase of 1/2 pound of roast beef is equivalent to 2/4 when both the numerator and the denominator are multiplied by 2. Similarly, 5/6 pound of ham is equivalent to 10/12 using the same process. These fractions must represent the same portion of the whole to be considered equivalent.
Step-by-step explanation:
Jessica bought 1/2 pound of roast beef and 5/6 pound of ham. To find equivalent fractions for the amounts she bought, we can use multiplication or division. The key is that the numerator and denominator of the fraction must be increased or decreased by the same factor to maintain the equivalent value.
For the 1/2 pound of roast beef, if we multiply both the numerator (1) and the denominator (2) by a common factor, such as 2, we get:
- 1/2 × 2/2 = 2/4, which means 2/4 is equivalent to 1/2.
Similarly, for the 5/6 pound of ham, by multiplying both the numerator (5) and the denominator (6) by a common factor, such as 2, we can find an equivalent fraction:
- 5/6 × 2/2 = 10/12, which means 10/12 is equivalent to 5/6.
Remember that to be equivalent, the fractions must represent the same portion of the whole.