Math  /  Numbers & Operations

QuestionLESSON 10 SESSION 3 Name:
Practice Adding and Subtracting Positive and Negative Fractions and Decimals
Study the Example showing adding and subtracting positive and negative fractions. Then solve problems 1-4.
Example Hummingbirds sip 212floz2 \frac{1}{2} \mathrm{floz} of the liquid food in a feeder. Then 112floz1 \frac{1}{2} \mathrm{fl} \mathrm{oz} of food is added to the feeder. Last, hummingbirds sip another 314floz3 \frac{1}{4} \mathrm{fl} \mathrm{oz} of food. What is the overall change in the amount of food in the feeder? You can write an expression to represent the situation. 212+112314-2 \frac{1}{2}+1 \frac{1}{2}-3 \frac{1}{4}
To simplify the expression, you can first reorder the terms. 212+112314=212314+112=534+112=414\begin{aligned} -2 \frac{1}{2}+1 \frac{1}{2}-3 \frac{1}{4} & =-2 \frac{1}{2}-3 \frac{1}{4}+1 \frac{1}{2} \\ & =-5 \frac{3}{4}+1 \frac{1}{2} \\ & =-4 \frac{1}{4} \end{aligned}
The overall change in the amount of food in the feeder is 414floz-4 \frac{1}{4} \mathrm{fl} \mathrm{oz}. (1) The feeder in the Example had 16 fl oz of food in it to start. How much food does it have now? Show your work.

Studdy Solution
Convert the improper fraction back to a mixed number.
814=2014\frac{81}{4} = 20 \frac{1}{4}
The feeder now has:
2014 fl oz\boxed{20 \frac{1}{4} \text{ fl oz}}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord