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
Mark and label a point for each fraction below on the number line to its right.
a.
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "vertical-align:middle"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{1}{3}$$"}]}, {"_attributes": {"style": "vertical-align:middle"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l10_tt1.png", "style": "width: 344px; height: 40px;"}}]}]}]}]}]}
b.
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "vertical-align:middle"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{5}{6}$$"}]}, {"_attributes": {"style": "vertical-align:middle"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l10_tt1.png", "style": "height:40px; width:344px"}}]}]}]}]}]}
c.
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "vertical-align:middle"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{3}{8}$$"}]}, {"_attributes": {"style": "vertical-align:middle"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2019/03/29/math3_u6_l11_at1b.png", "style": "height:40px; width:344px"}}]}]}]}]}]}
Problem 2
Determine the location of each of the following points.
a.
[IMG]
b.
[IMG]
Problem 3
Erin walked 1 mile from her house to the library. Along the way, she passed several places shown on the number line below.
[IMG]
a.   Which place is
$$\frac{4}{8} $$
mile from Erin’s house?
b.   Erin also passed the fire station, which is
$$\frac{1}{8} $$
mile from Erin’s house. Plot the location of the fire station on the number line above.
c.   What is the distance, in miles, between the park and the market?


aligns: no