Simplify. −2 1/2+6 2/3
To simplify −2 1/2 + 6 2/3, we first need to convert the mixed numbers to improper fractions.
−2 1/2 can be written as -5/2 and 6 2/3 can be written as 20/3.
Now, we can add the fractions.
-5/2 + 20/3
To add these fractions, we need to find a common denominator. The least common multiple of 2 and 3 is 6.
-5/2 can be written as -15/6 and 20/3 can be written as 40/6.
Now, we can add -15/6 and 40/6.
-15/6 + 40/6 = 25/6.
The simplified answer is 25/6.
Which feature is created when a block of rock dropped down in relation to the block of rock beside it?(1 point)
Responses
transform fault produced by shear
transform fault produced by shear
normal fault produced by tension
normal fault produced by tension
thrust fault produced by compression
thrust fault produced by compression
reverse fault produced by compression
normal fault produced by tension
To simplify the expression -2 1/2 + 6 2/3, we first need to convert the mixed numbers into improper fractions.
Converting -2 1/2 to an improper fraction:
-2 1/2 = (-2 * 2) + 1 / 2 = -4/2 + 1/2 = -3/2
Converting 6 2/3 to an improper fraction:
6 2/3 = (6 * 3) + 2 / 3 = 18/3 + 2/3 = 20/3
Now, the expression becomes:
-3/2 + 20/3
To add or subtract fractions with different denominators, we need to find a common denominator.
The common denominator for 2 and 3 is 6.
-3/2 can be written as -9/6 and 20/3 can be written as 40/6.
Therefore, the expression becomes:
-9/6 + 40/6
Adding the fractions:
-9/6 + 40/6 = ( -9 + 40 ) / 6 = 31/6.
Therefore, the simplified expression is 31/6.