standard_description: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
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
Would you rather have the leftover king-sized candy bar in Scenario A or Scenario B? The original candy bars were the same size.
{"table": [{"_attributes": {"class": ["table"], "style": "width: 100%;"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align: center;"}, "p": [{"_value": "Scenario A"}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/6IHeGW1e9sEYAohbKOidTN_LVX12G.png"}}]}]}, {"_attributes": {"style": "text-align: center;"}, "p": [{"_value": "Scenario B"}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/zmqYDd5fBHecNcxlVQyYLE_C22SZP.png"}}]}]}]}]}]}]}
Problem 2
Find two fractions that are equivalent to each of the following:
a.
$$\frac{1}{3}$$
b.
$$\frac{3}{4}$$
c.
$$\frac{3}{2}$$
Problem 3
Use pictures to explain why the following fractions are equivalent.
a.
$${{1\over2}={3\over6}}$$
b.
$${{2\over3}={8\over12}}$$
c.
$${{4\over3}={8\over6}}$$


aligns: no