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?
To find out how much each student should have, we need to divide the total amount of water by the number of students.
Total amount of water = 100 mL
Number of students = 4
Amount for each student = Total amount of water / Number of students
Amount for each student = 100 mL / 4
Amount for each student = 25 mL
Therefore, each student should have 25 mL of water.
The value of a 6 in the hundred thousands place is what fraction of the value of a 6 in the one millions place?
The hundred thousands place is one place to the right of the one millions place. When you move one place to the right, the value of the digit becomes ten times smaller.
So, a 6 in the hundred thousands place is 1/10 the value of a 6 in the one millions place.
To write this as a fraction, we can put the value of the hundred thousands place in the numerator and the value of the one millions place in the denominator:
6 in hundred thousands place / 6 in one millions place = 1/10
Therefore, the value of a 6 in the hundred thousands place is 1/10 the value of a 6 in the one millions place.
In which number below does the digit 5 have the least value?
A) 3.451
B) 75
C) 9.58
D) 5.2633
The digit 5 has the least value in the number A) 3.451 because the digit 5 is not present in this number.
The value of a 3 in the hundreds place is what fraction of the value of a 3 in the one thousands place?
The hundreds place is one place to the right of the thousands place. When you move one place to the right, the value of the digit becomes ten times smaller.
So, a 3 in the hundreds place is 1/10 the value of a 3 in the thousands place.
To write this as a fraction, we can put the value of the hundreds place in the numerator and the value of the thousands place in the denominator:
3 in hundreds place / 3 in thousands place = 1/10
Therefore, the value of a 3 in the hundreds place is 1/10 the value of a 3 in the thousands place.