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question 67
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reduce the following to its lowest terms
\\(\frac{33}{77} = \frac{x}{y}\\)
solve for x in the above question;
solve for y in the above question:
question 68
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answered
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reduce the following to its lowest terms
\\(\frac{150}{375} = \frac{x}{y}\\)
solve for x in the above question;
solve for y in the above question:

Explanation:

Question 67

Step1: Find GCD of 33 and 77

The factors of 33 are 1, 3, 11, 33. The factors of 77 are 1, 7, 11, 77. The greatest common divisor (GCD) is 11.

Step2: Divide numerator and denominator by GCD

Divide 33 by 11: $33\div11 = 3$. Divide 77 by 11: $77\div11 = 7$. So $\frac{33}{77}=\frac{3}{7}$, which means $x = 3$ and $y = 7$.

Step1: Find GCD of 150 and 375

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. The GCD is 75.

Step2: Divide numerator and denominator by GCD

Divide 150 by 75: $150\div75 = 2$. Divide 375 by 75: $375\div75 = 5$. So $\frac{150}{375}=\frac{2}{5}$, which means $x = 2$ and $y = 5$.

Answer:

(for x):
3