Equivalent Ratio

9:36=
21:27=
48:72=
60:45=
10:70=​

9514 1404 393

Step-by-step explanation:

Reduced ratios are found by removing (dividing out) the greatest common factor (GCF). For several of these, that factor is the smallest number or the difference between the numbers. Knowledge of multiplication tables is helpful.

  9 : 36 = 1 : 4 . . . . common factor of 9

  21 : 27  = 7 : 9 . . . . common factor of 3

  48 : 72 = 2 : 3 . . . . common factor of 24

  60 : 45 = 4 : 3 . . . . common factor of 15

  10 : 70 = 1 : 7 . . . . common factor of 10

Comment on GCF

The greatest common factor can be found from your knowledge of multiplication tables and/or divisibility rules. It can also be found using Euclid's algorithm. For that, you ...

  Divide the larger number by the smaller and keep the remainder.

  If the remainder is 0, the smaller is the GCF.

  If the remainder is not zero, replace the larger number with the remainder and repeat from the first step.

Example:

  27/21 = 1 r 6

  21/6 = 3 r 3

  6/3 = 2 r 0 . . . . 3 is the GCF of 21 and 27

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

idk idk idk idk idk

step-by-step explanation: