30. which problems can be solved by adding the two fractions? a. arien spent 1/4 hour online and 1/3 hour…

30. which problems can be solved by adding the two fractions? a. arien spent 1/4 hour online and 1/3 hour playing. how long did he spend online and playing? b. arien cleaned 1/4 of the living - room and 1/3 of the dining - room. what fraction of the rooms did he clean in all? c. arien spent 3/8 of his allowance at the mall and 1/8 of his allowance at the movie theater. what part of his allowance did he spend in all? d. arien cooked 1/6 dozen eggs for breakfast. then he used 1/4 dozen eggs to make some muffins. what part of the dozen eggs did arien use overall? 31. the diagram shows an angle being measured. what is the measure of the angle? a. 67 b. 13 c. 15 d. 12

30. which problems can be solved by adding the two fractions? a. arien spent 1/4 hour online and 1/3 hour playing. how long did he spend online and playing? b. arien cleaned 1/4 of the living - room and 1/3 of the dining - room. what fraction of the rooms did he clean in all? c. arien spent 3/8 of his allowance at the mall and 1/8 of his allowance at the movie theater. what part of his allowance did he spend in all? d. arien cooked 1/6 dozen eggs for breakfast. then he used 1/4 dozen eggs to make some muffins. what part of the dozen eggs did arien use overall? 31. the diagram shows an angle being measured. what is the measure of the angle? a. 67 b. 13 c. 15 d. 12

Answer

Explanation:

Step1: Analyze option A

It involves adding time - fractions for different activities, but the fractions are not in a form that directly asks for addition of given fractions in a simple way.

Step2: Analyze option B

It is about cleaning different parts of rooms, but the problem is more about subtraction or comparison rather than simple addition of the given fractions.

Step3: Analyze option C

Arien spent $\frac{3}{8}$ of his allowance at the mall and $\frac{1}{8}$ at the movie theater. To find the total part of allowance spent, we add the fractions $\frac{3}{8}+\frac{1}{8}=\frac{3 + 1}{8}=\frac{4}{8}=\frac{1}{2}$. This problem can be solved by adding the two given fractions.

Step4: Analyze option D

It is about using eggs for different purposes and is more about subtraction of fractions rather than addition.

For question 31, we assume the protractor has markings from 0 - 180 degrees. If we start from the 0 - mark on the protractor and the angle's ray points to the 67 - degree mark, the measure of the angle is 67 degrees.

Answer:

  1. C. Arien spent $\frac{3}{8}$ of his allowance at the mall and $\frac{1}{8}$ of his allowance at the movie theater. What part of his allowance did he spend in all?
  2. A. 67°