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In this lesson, we will learn how to multiply a mixed number by a whole number, a fraction, and another mixed number and how to use this to solve real-life problems.

Q1:

Calculate 7 1 4 × 1 2 .

Q2:

Calculate 1 1 2 × 3 3 4 × 1 7 9 .

Q3:

Calculate 2 2 5 × 1 1 4 × 1 5 6 .

Q4:

Calculate 2 1 5 × 1 1 3 × 1 1 4 .

Q5:

The dimensions of a wall are 8 5 8 feet and 2 0 1 5 feet. If a gallon of paint can cover about 230 square feet, will one gallon of paint be enough to cover the wall?

Q6:

A rectangle has a length of 3 1 2 inches and a width of 1 2 7 inches. If both the length and width are doubled, what is the area of the new rectangle?

Q7:

The actual size of a bracelet is 4 times larger than a photo of it in an advert. If the length of the bracelet in the photo is 1 1 6 inches, what is the actual length of the bracelet?

Q8:

A recipe calls for 1 1 2 c of flour. How much flour would you need to make 3 5 of the recipe?

Q9:

Calculate 3 2 3 × 1 2 3 .

Q10:

Calculate 3 3 5 × 2 1 2 .

Q11:

Liam walks 9 1 1 mi to the gym every day. Determine the distance that Liam walks to and from the gym in 1 2 5 months, assuming there are 30 days in each month and he goes every day.

Q12:

Evaluate .

Q13:

Q14:

1 2 ⋯ × 1 2 1 4 = 2 1 .

Q15:

Sophia is making spaghetti sauce. The recipe calls for cups of water. If she wants to make the amount of sauce in the recipe, how much water should she use?

Q16:

Evaluate 1 6 × 3 3 7 .

Q17:

A man weighs 9 7 4 5 kg on Earth and his weight on the moon is 1 6 of its value on Earth. Find the man’s weight on the moon.

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