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
There are a few more ingredients in Lin’s family recipe for cookies, listed below. Write an addition equation and a multiplication equation to show how she can use the
$$\frac14$$
-cup measure to measure the amount of each ingredient below.
a.
$$\frac94$$
cups chocolate chips
b.
$$2\frac34$$
cup flour
Problem 2
Decompose each of the following fractions as a sum of unit fractions, a multiple of a unit fraction, and a sum of non-unit fractions.
a.
$${{8\over2}}$$
b.
$$3\frac{1}{4}$$
c.
$${{12\over5}}$$
Problem 3
Compose each of the following expressions.
a.
$${{1\over3}+{1\over3}+{1\over3}+{1\over3}+{1\over3}+{1\over3}}$$
b.
$${{3\over5}+{2\over5}+{6\over5}}$$
c.
$$12\times\frac{1}{4}$$
d.
$$9\times\frac{1}{2}$$


aligns: no