express these ratios as a fraction in simplest form
1. 25 to10
2. 14:70
3. 11:66
4. 12 to 64
5. 90 to 33
6.50 : 100
1.
25/10 = 5/2 = 2 1/2
2.
14/70 = 2/10 = 1/5
That's a start. I'll be glad to check your answers to the rest.
1.5/2
2.1\5
3.1\6
4.3\16
5.30\11
6.1\2
To express ratios as fractions in simplest form, you need to find the greatest common divisor (GCD) of the two numbers in the ratio and divide both numbers by the GCD.
1. 25 to 10:
The GCD of 25 and 10 is 5. Divide both numbers by 5 to simplify the ratio:
25 ÷ 5 : 10 ÷ 5
5 : 2
2. 14:70:
The GCD of 14 and 70 is 14. Divide both numbers by 14 to simplify the ratio:
14 ÷ 14 : 70 ÷ 14
1 : 5
3. 11:66:
The GCD of 11 and 66 is 11. Divide both numbers by 11 to simplify the ratio:
11 ÷ 11 : 66 ÷ 11
1 : 6
4. 12 to 64:
The GCD of 12 and 64 is 4. Divide both numbers by 4 to simplify the ratio:
12 ÷ 4 : 64 ÷ 4
3 : 16
5. 90 to 33:
The GCD of 90 and 33 is 3. Divide both numbers by 3 to simplify the ratio:
90 ÷ 3 : 33 ÷ 3
30 : 11
6. 50 : 100:
The GCD of 50 and 100 is 50. Divide both numbers by 50 to simplify the ratio:
50 ÷ 50 : 100 ÷ 50
1 : 2
By simplifying the ratios as fractions in simplest form, we can express them as follows:
1. 25:10 = 5:2
2. 14:70 = 1:5
3. 11:66 = 1:6
4. 12:64 = 3:16
5. 90:33 = 30:11
6. 50:100 = 1:2