Question

30/35= 18/x what is x? thanks

Answer 1

x = 21

Explanation:

Step 1: Simplify 30/35 by dividing the numerator and denominator

by the greatest common factor (GCF) of 30 and 35:

• The GCF of 30 and 35 is 5, so we divide both the numerator and denominator by 5 to simplify the fraction:

(30 / 5) / (35 / 5)

6/7

Thus, our new equation is given by:

6/7 = 18/x

Step 2: Multiply both sides by the least common denominator (LCD) of 6/7 and 18/x to clear the fractions:

• We find the LCD by multiplying the two denominators, 7 and x.

Thus, the LCD is 7x and we can clear the fractions by multiplying 6/7 and 18/x by 7x:

Clearing the fraction on the left-hand side:

`(6)/(7)*(7x)/(1)\\ \\ (42x)/(7)\\ \\ 6x`

Clearing the fraction on the right-hand side:

`(18)/(x)*(7x)/(1)\\ \\ (126x)/(x)\\ \\126`

Thus, our equation without fractions is given by:

6x = 126

Step 3: Divide both sides by 6 to solve for x:

(6x = 126) / 6

x = 21

Thus, x = 21.