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.