Write equivalent fractions for 2/7 and 5/12 using the least common denominator

24/84  and 35/84

Step-by-step explanation:

Equivalent Fractions

Two fractions are equivalent if they name the same number. 2/5 and 4/10 are equivalent. We can compute fractions who are equivalent to a given fraction if we multiply or divide both numerator and denominator by the same number. In the previous example, 4/10 is equivalent to 2/5 because both parts are twice the first.

We are asked to find equivalent fractions for 2/7 and 5/12 using the least common denominator. We must find the least common number between 7 and 12. Since they are relatively prime numbers, the least common factor is their product, i.e. 7*12=84.  

To find the equivalent fraction for 2/7, we multiply by 12 up and down to get 24/84

To find the equivalent fraction for 5/12, we multiply by 7 to get 35/84

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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