Question

write the given ratios in the simplest form
12:36=
3:15=
10:110=
15:30=
9:27=
6:36=
5:125=
15:20=

Explanation:

Step1: Find GCD for 12:36

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

Step2: Find GCD for 3:15

GCD(3, 15)=3. Divide both by 3: $\frac{3}{3}:\frac{15}{3}=1:5$

Step3: Find GCD for 10:110

GCD(10, 110)=10. Divide both by 10: $\frac{10}{10}:\frac{110}{10}=1:11$

Step4: Find GCD for 15:30

GCD(15, 30)=15. Divide both by 15: $\frac{15}{15}:\frac{30}{15}=1:2$

Step5: Find GCD for 9:27

GCD(9, 27)=9. Divide both by 9: $\frac{9}{9}:\frac{27}{9}=1:3$

Step6: Find GCD for 6:36

GCD(6, 36)=6. Divide both by 6: $\frac{6}{6}:\frac{36}{6}=1:6$

Step7: Find GCD for 5:125

GCD(5, 125)=5. Divide both by 5: $\frac{5}{5}:\frac{125}{5}=1:25$

Step8: Find GCD for 15:20

GCD(15, 20)=5. Divide both by 5: $\frac{15}{5}:\frac{20}{5}=3:4$

Answer:

12:36 = 1:3
3:15 = 1:5
10:110 = 1:11
15:30 = 1:2
9:27 = 1:3
6:36 = 1:6
5:125 = 1:25
15:20 = 3:4