standard_description: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. (Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.) For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
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
Mrs. Fowler knew that the perimeter of the soccer field was
$${{1\over6}}$$
mile. She walked
$$2{{{1\over6}}}$$
miles in total. How many times did she walk around the field? Show or explain your work.
Problem 2
Convert the following mixed numbers to fractions greater than 1. Show or explain your work.
a.
$${3{1\over2}}$$
b.
$${4{1\over4}}$$
c.
$${5{3\over5}}$$
Problem 3
Ben wrote the mixed number
$$7\frac{1}{3}$$
as a fraction. Here is his work:
| $$7\frac{1}{3}= 7 + \frac{1}{3}$$ | (Step 1) |
|-----------------------------------|----------|
|   $$=\frac{7}{1}+\frac{1}{3}$$    | (Step 2) |
|   $$=\frac{21}{3}+\frac{1}{3}$$   | (Step 3) |
|         $${={22\over3}}$$         | (Step 4) |
Explain what Ben did in each step.


aligns: no