standard_description: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.
problem_activity: Problem 1
a.   A construction worker is tiling a backsplash. The backsplash is
$${4{{{1\over2}}}}$$
tiles long and
$${{1\over2}}$$
tile tall. How many tiles are needed in total for the whole backsplash? Give an exact answer that includes the fractions of a tile she will need.
b.   A runway measures
$${10{1\over3}}$$
yards long and
$${{3\over4}}$$
yards wide. What is the area, in square yards, of the runway?
Problem 2
a.   Kendra is making
$${{1\over2}}$$
of a recipe. The full recipe calls for
$${3 {1\over4}}$$
cups of flour. How many cups of flour should Kendra use?
b.   Claire walked
$${2{2\over5}}$$
miles. Jason walked
$${{2\over3}}$$
as far as Claire. How many miles did Jason walk?
Problem 3
Solve. Show or explain your work.
a.
$${{2\over3} \times 4{1\over4}}$$
b.
$${3{2\over5} \times {1\over2}}$$
c.
$${{5\over4} \times 3{1\over3}}$$


aligns: no