Solve the problem below by finding a common denominator.
7/8−4/5
To find a common denominator, we need to find the least common multiple (LCM) of 8 and 5.
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ...
The least common multiple of 8 and 5 is 40.
Next, we need to write both fractions with a denominator of 40:
7/8 = (7/8) * (5/5) = 35/40
4/5 = (4/5) * (8/8) = 32/40
Now we can subtract the fractions:
35/40 - 32/40 = 3/40
The solution is 3/40.
A rectangle is 4/3 meters long and 2/5 of a meter wide. What is the total area, in square meters, of the rectangle?
To find the area of a rectangle, we need to multiply its length by its width. Given that the length is 4/3 meters and the width is 2/5 meter, we can write:
Area = length x width = (4/3) x (2/5)
To multiply these fractions, we can simplify them first by dividing both the numerator and denominator by their greatest common factor. The factors of 3 are 1 and 3. The factors of 5 are 1 and 5. The greatest common factor is 1.
(4/3) ÷ 1 = 4/3
(2/5) ÷ 1 = 2/5
So, now we have:
Area = (4/3) x (2/5) = (4 x 2) / (3 x 5) = 8/15
Therefore, the total area of the rectangle is 8/15 square meters. This can also be written as 0.53333 square meters (rounded to five decimal places).
Find the area of the rectangle by multiplying the side lengths.
A rectangle with a length of two-fifths units and a width of one-fourth unit.
2/5 and 1/4
To find the area of the rectangle, we need to multiply the length and the width.
Length = 2/5 units
Width = 1/4 units
Area = Length x Width
Area = (2/5) x (1/4)
To multiply these fractions, we can multiply the numerators and denominators separately:
Area = (2 x 1) / (5 x 4)
Area = 2 / 20
Simplifying the fraction by dividing the numerator and denominator by 2:
Area = 1 / 10
Therefore, the area of the rectangle is 1/10 square units.
Lucas wants to put soil in his garden shown below. If soil comes in bags that fill 2 square yards each, how many bags of soil should Lucas buy? Hint: you may have some leftover soil.
A garden with a length of five-halves yards and a width of three-halves yards.
5/2yds and 3/2yds
To find the area of the garden, we need to multiply the length and the width.
Length = 5/2 yards
Width = 3/2 yards
Area = Length x Width
Area = (5/2) x (3/2)
To multiply these fractions, we can multiply the numerators and denominators separately:
Area = (5 x 3) / (2 x 2)
Area = 15 / 4
Since each bag of soil fills 2 square yards, we can divide the area of the garden by 2 to find how many bags of soil we need:
Number of bags = Area of garden / Area of one bag
Number of bags = (15/4) / 2
Number of bags = 15/8
Therefore, Lucas should buy 15/8 bags of soil. This means he will need to buy at least 2 bags of soil and will have some leftover soil.
Paula is a banker who earns $15 per hour. If Paula worked 63 hours at her job, how much money has she earned?
To find how much Paula has earned, we need to multiply her hourly rate by the number of hours she worked.
Hourly rate = $15
Number of hours worked = 63
Earnings = Hourly rate x Number of hours worked
Earnings = $15 x 63
Earnings = $945
Therefore, Paula has earned $945.
Alana has 100 mL of water in her water bottle.
She needs to share it with 3 other students so that all 4 of them have the same amount.
How much should each student have?