standard_description: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
problem_activity: Problem 1
Estimate the following quotient. Then compute it.
$$486\div79$$
Problem 2
Divya is trying to solve
$$369 ÷ 46$$
. She estimates the quotient to be
$$369\div46 \approx 350 \div 50 = 7$$
. She starts to compute below:
[IMG]
a.   What do you notice about Divya's work so far? What do you wonder?
b.   Based on what you noticed and wondered about Divya's work, find the solution to
$$369 \ ÷ \ 46$$
.
Problem 3
723 students were divided equally into teams of 94 students for field day. Any students left over after making as many groups of 94 as possible will just be a smaller team. How many students will be on a team smaller than 94, if any?


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