Perform the indicated operation. 1 and 2/3 plus 5 and 3/8

7  1/24

Step-by-step explanation:

1 2/3+5 3/8=?

first you need to find the least common multiple between 2/3 and 3/8.

the lcm would be 24, so 24 would be your new denominator for both fractions, but the numerators will change to how much you just multiplied each denominator by to get 24. 8x3 is 24, so you would multiply 3x3 to get the new numerator: 9. 3x8 is 24, so you multiply 2x8 to get the new numerator for that fraction:16.

so your new fractions are 1 16/24 + 5 9/24

now you add 16+9=25 (25/24, which becomes 1  1/24), so then you have another whole number: +1, and you add it to 5+1, so no it's 5+1+1=7

so the answer would be 7 1/24

∠cbe and ∠deb are same-side interior angles.

i took the test

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.