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.
- Two-fifths of the students in Anya’s fifth grade class are girls. One-eighth of the girls wear glasses. What fraction of Anya’s class consists of girls who wear glasses?
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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?
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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?
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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 red-haired boys?
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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?
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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?
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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?
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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?
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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?
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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?