Question

homework:
simplify the ratios.

1. 12: 36 = __: 14. 45: 27 = : 15. 21: 27 = :__
2. 8: 16 = __: 17. 49: 21 = : 18. 24: 3 = :__

Explanation:

Step1: Simplify 12:36

Find GCD of 12 and 36. GCD(12,36)=12. Divide both by 12: $\frac{12}{12}:\frac{36}{12}=1:3$

Step2: Simplify 45:27

GCD(45,27)=9. Divide by 9: $\frac{45}{9}:\frac{27}{9}=5:3$

Step3: Simplify 21:27

GCD(21,27)=3. Divide by 3: $\frac{21}{3}:\frac{27}{3}=7:9$

Step4: Simplify 8:16

GCD(8,16)=8. Divide by 8: $\frac{8}{8}:\frac{16}{8}=1:2$

Step5: Simplify 49:21

GCD(49,21)=7. Divide by 7: $\frac{49}{7}:\frac{21}{7}=7:3$

Step6: Simplify 24:3

GCD(24,3)=3. Divide by 3: $\frac{24}{3}:\frac{3}{3}=8:1$

Answer:

1. \(1:3\)
2. \(5:3\)
3. \(7:9\)
4. \(1:2\)
5. \(7:3\)
6. \(8:1\)