Simplify:
square root 49
The square root of 49 is 7.
simplify square root 81
The square root of 81 is 9.
8/11 + 2/3 =
To add these fractions together, first find a common denominator for both fractions.
The common denominator for 11 and 3 is 33.
Next, convert the fractions to have this common denominator:
8/11 * (3/3) = 24/33
2/3 * (11/11) = 22/33
Now that the fractions have a common denominator, you can add them together:
24/33 + 22/33 = 46/33
So, 8/11 + 2/3 equals 46/33.
5 1/8 − 13/4
=
5
To subtract mixed numbers, you need to find a common denominator for the fractions.
The common denominator for 8 and 4 is 8.
Next, convert the fractions to have this common denominator:
5 1/8 = 41/8
13/4 = 26/8
Now that both fractions have a common denominator, you can subtract them:
41/8 - 26/8 = 15/8
Finally, add the whole numbers:
5 - 0 = 5
So, 5 1/8 - 13/4 is equal to 5 15/8.
2 3/8 ⋅ 13/4 =
To multiply these mixed numbers, you first need to convert them to improper fractions.
2 3/8 can be written as (2 * 8 + 3) / 8 = 19/8.
Next, multiply the fractions:
(19/8) * (13/4) = (19 * 13) / (8 * 4) = 247/32.
Therefore, 2 3/8 * 13/4 = 247/32.
21/12 divied by 7/6
To divide these fractions, we need to invert and multiply.
21/12 divided by 7/6 can be written as (21/12) * (6/7).
Next, simplify the fractions:
21/12 = (3 * 7) / (3 * 4) = 7/4.
6/7 remains the same.
Finally, multiply the fractions:
(7/4) * (6/7) = (7 * 6) / (4 * 7) = 42/28.
To further simplify the fraction, we can find the greatest common divisor (GCD) of 42 and 28, which is 14.
42/28 = (14 * 3) / (14 * 2) = 3/2.
Therefore, 21/12 divided by 7/6 is equal to 3/2 or 1 1/2.
18.2+46.69=
The sum of 18.2 and 46.69 is 64.89.
5 15/8 put this in to a mixed number
To convert the improper fraction 15/8 into a mixed number:
First, divide the numerator (15) by the denominator (8).
15 ÷ 8 = 1 remainder 7.
The quotient becomes the whole number part of the mixed number (1) and the remainder becomes the new numerator (7).
So, 5 15/8 can be written as 6 7/8.
84.7−42.9=
The difference between 84.7 and 42.9 is 41.8.
5.56 ÷ −5.56
The quotient of 5.56 divided by -5.56 is -1.
0.8⋅6.21=
The product of 0.8 and 6.21 is 4.968.
Solve the equation: 4(x + 3) = 32
To solve the equation 4(x + 3) = 32, we will use the distributive property.
First, distribute the 4 to the terms in the parentheses:
4 * x + 4 * 3 = 32
This simplifies to:
4x + 12 = 32
Next, we will isolate the variable term by subtracting 12 from both sides:
4x = 32 - 12
4x = 20
Finally, divide both sides by 4 to solve for x:
x = 20 / 4
x = 5
Therefore, the solution to the equation 4(x + 3) = 32 is x = 5.
247/32 into a mixed number
To convert the improper fraction 247/32 into a mixed number:
First, divide the numerator (247) by the denominator (32).
247 ÷ 32 = 7 remainder 23.
The quotient becomes the whole number part of the mixed number (7) and the remainder becomes the new numerator (23).
So, 247/32 can be written as 7 23/32.
The price of a shirt is $25, and it is on sale for 20% off. What is the sale price of the shirt?
To find the sale price of the shirt, we need to subtract the discount amount from the original price.
The discount amount can be found by multiplying the original price ($25) by the discount percentage (20% or 0.20):
Discount amount = $25 * 0.20 = $5
So, the discount amount is $5.
Now, we subtract the discount amount from the original price to find the sale price:
Sale price = $25 - $5 = $20
Therefore, the sale price of the shirt is $20.