To simplify a ratio, we need to find the largest number that divides evenly into both parts of the ratio (the Greatest Common Divisor) and divide both numbers by it.
Here is the step-by-step simplification for each problem:
Row 1:
*
6 : 15: Both numbers are divisible by 3.
* $6 \div 3 = 2$
* $15 \div 3 = 5$
* Result:
2 : 5
*
8 : 12: Both numbers are divisible by 4.
* $8 \div 4 = 2$
* $12 \div 4 = 3$
* Result:
2 : 3
Row 2:
*
4 : 16: Both numbers are divisible by 4.
* $4 \div 4 = 1$
* $16 \div 4 = 4$
* Result:
1 : 4
*
8 : 30: Both numbers are even, so divide by 2.
* $8 \div 2 = 4$
* $30 \div 2 = 15$
* Result:
4 : 15
*
3 : 33: Both numbers are divisible by 3.
* $3 \div 3 = 1$
* $33 \div 3 = 11$
* Result:
1 : 11
Row 3:
*
12 : 72: Both numbers are divisible by 12.
* $12 \div 12 = 1$
* $72 \div 12 = 6$
* Result:
1 : 6
*
22 : 22: Any number divided by itself is 1.
* Result:
1 : 1
*
9 : 63: Both numbers are divisible by 9.
* $9 \div 9 = 1$
* $63 \div 9 = 7$
* Result:
1 : 7
Row 4:
*
15 : 75: Both numbers end in 5, so they are divisible by 5 (or 15).
* $15 \div 15 = 1$
* $75 \div 15 = 5$
* Result:
1 : 5
*
10 : 48: Both numbers are even, so divide by 2.
* $10 \div 2 = 5$
* $48 \div 2 = 24$
* Result:
5 : 24
*
8 : 72: Both numbers are divisible by 8.
* $8 \div 8 = 1$
* $72 \div 8 = 9$
* Result:
1 : 9
Row 5:
*
25 : 50: Both numbers are divisible by 25.
* $25 \div 25 = 1$
* $50 \div 25 = 2$
* Result:
1 : 2
*
22 : 220: Both numbers are divisible by 22.
* $22 \div 22 = 1$
* $220 \div 22 = 10$
* Result:
1 : 10
*
14 : 30: Both numbers are even, so divide by 2.
* $14 \div 2 = 7$
* $30 \div 2 = 15$
* Result:
7 : 15
Row 6:
*
28 : 36: Both numbers are divisible by 4.
* $28 \div 4 = 7$
* $36 \div 4 = 9$
* Result:
7 : 9
*
36 : 72: 36 goes into 72 exactly two times.
* $36 \div 36 = 1$
* $72 \div 36 = 2$
* Result:
1 : 2
*
175 : 250: Both numbers end in 5 or 0, so divide by 25.
* $175 \div 25 = 7$
* $250 \div 25 = 10$
* Result:
7 : 10
Row 7:
*
5 : 150: Both numbers are divisible by 5.
* $5 \div 5 = 1$
* $150 \div 5 = 30$
* Result:
1 : 30
*
60 : 400: Cross out the zeros (divide by 10) to get 6:40, then divide by 2.
* $60 \div 20 = 3$
* $400 \div 20 = 20$
* Result:
3 : 20
*
35 : 45: Both numbers end in 5, so divide by 5.
* $35 \div 5 = 7$
* $45 \div 5 = 9$
* Result:
7 : 9
Final Answer:
2 : 5
2 : 3
1 : 4
4 : 15
1 : 11
1 : 6
1 : 1
1 : 7
1 : 5
5 : 24
1 : 9
1 : 2
1 : 10
7 : 15
7 : 9
1 : 2
7 : 10
1 : 30
3 : 20
7 : 9
Parent Tip: Review the logic above to help your child master the concept of simplifying ratios worksheet.
