To Multiply or not to multiply?
Some of the problems below can be solved by multiplying $\frac18\times\frac25$, while others need a different operation. Select the ones that can be solved by multiplying these two numbers. For the remaining, tell what operation is appropriate. In all cases, solve the problem (if possible) and include appropriate units in the answer.
 Twofifths of the students in Anya’s fifth grade class are girls. Oneeighth of the girls wear glasses. What fraction of Anya’s class consists of girls who wear glasses?

A farm is in the shape of a rectangle $\frac18$ of a mile long and $\frac25$ of a mile wide. What is the area of the farm?

There is $\frac25$ of a pizza left. If Jamie eats another $\frac18$ of the original whole pizza, what fraction of the original pizza is left over?

In Sam’s fifth grade class, $\frac18$ of the students are boys. Of those boys, $\frac25$ have red hair. What fraction of the class is redhaired boys?

Only $\frac{1}{20}$ of the guests at the party wore both red and green. If $\frac18$ of the guests wore red, what fraction of the guests who wore red also wore green?

Alex was planting a garden. He planted $\frac25$ of the garden with potatoes and $\frac18$ of the garden with lettuce. What fraction of the garden is planted with potatoes or lettuce?

At the start of the trip, the gas tank on the car was $\frac25$ full. If the trip used $\frac18$ of the remaining gas, what fraction of a tank of gas is left at the end of the trip?

On Monday, $\frac18$ of the students in Mr. Brown’s class were absent from school. The nurse told Mr. Brown that $\frac25$ of those students who were absent had the flu. What fraction of the absent students had the flu?

Of the children at Molly’s daycare, $\frac18$ are boys and $\frac25$ of the boys are under 1 year old. How many boys at the daycare are under one year old?

The track at school is $\frac25$ of a mile long. If Jason has run $\frac18$ of the way around the track, what fraction of a mile has he run?
Comments
Log in to commentTricia says:
about 4 yearsThis was a great task for my preservice teachers who don't have much trouble with the computations but struggle to recognize if multiplication is appropriate for a given context.
Jason says:
about 6 yearsThe alignment might be to the domain in this case, 5.NF, because several clusters are in play across the task.