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In this lesson, we will learn how to add mixed numbers with like and unlike denominators involving geometric figures and real-world problems.

Q1:

The weights of 3 boxes are 1 1 9 kg, 2 1 3 kg, and 2 9 kg. What is the total weight of the boxes?

Q2:

Calculate 3 4 9 + 4 6 7 .

Q3:

Ramy has two posters. One is 5 3 8 feet wide and the other 2 7 8 feet wide. Will the two posters fit beside each other on a wall 7 feet wide?

Q4:

Use the figure to find the length of the segment connecting the centres of the two smaller circles.

Q5:

Calculate 8 2 5 + − 4 3 5 . Give your answer as a mixed number.

Q6:

Calculate 7 2 5 + 1 2 3 + 2 1 3 . Give your answer in its simplest form.

Q7:

Use the digits 1, 1, 2, 3, 4, and 6 to create two mixed numbers with a sum of 5 5 6 .

Q8:

If a man bought 1 kg of apples for 8 1 4 p o u n d s and 1 kg of oranges for 4 1 2 p o u n d s , how much did he pay in total?

Q9:

One day, a flock of birds flew for 2 3 4 hours. The next day, they flew for 3 4 5 hours. How many hours did the birds fly for in total?

Q10:

A triangle has sides of length 3 8 9 , 7 4 9 , and 9 7 9 . Find the perimeter of the triangle.

Q11:

Samar drank fluid ounces of water on Monday, on Tuesday, and on Friday. How much more water did Samar drink on Monday and Tuesday than on Friday?

Q12:

Samar watched a documentary on TV for hours, a cooking show for hours, and a movie for hours. Find how many hours Samar spent watching TV altogether.

Q13:

Nader spent his free time watching TV and playing video games. If he spent 2 2 5 hours watching TV and 2 5 1 2 hours playing video games, how much free time did he have?

Q14:

Write 9 plus 1 4 as a mixed number.

Q15:

Evaluate 3 2 0 + 5 8 + 3 7 + 1 7 2 0 + 1 3 8 + 4 7 .

Q16:

Nabil had 23 LE. He then bought a pen for 3 1 4 L E and a notebook for 4 3 4 L E . How much money does he have left?

Q17:

Calculating the expression 6 4 9 + 6 1 9 + 6 2 3 ÷ 3 yields the mean of the numbers 6 4 9 , 6 1 9 , and 6 2 3 . Use the order of operations to determine the mean.

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