
1)5/6:1 2/3;2)3 1/7:4/7;3)15/38:1 1/19;4)7 1/2:3/4


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To solve these ratios, you need to simplify each ratio to its simplest form. Here's how you can do that for each of the given ratios:
5/6 : 1 2/3 To compare these fractions, first convert the mixed number to an improper fraction: 1 2/3 = (3 * 1 + 2) / 3 = 5/3 Now you have the ratio as 5/6 : 5/3. To simplify, multiply both sides by the reciprocal of the second fraction: (5/6) * (3/5) : (5/3) * (3/5) (15/30) : (15/15) Now, simplify further: 1/2 : 1 So, the simplified ratio is 1/2 : 1.
3 1/7 : 4/7 Convert the mixed number to an improper fraction: 3 1/7 = (7 * 3 + 1) / 7 = 22/7 Now you have the ratio as 22/7 : 4/7. To simplify, you can cancel out the common factor of 7 in both fractions: (22/7) / (7/7) : (4/7) / (7/7) (22/7) : 4/7 So, the simplified ratio is 22 : 4.
15/38 : 1 1/19 Convert the mixed number to an improper fraction: 1 1/19 = (19 * 1 + 1) / 19 = 20/19 Now you have the ratio as 15/38 : 20/19. To simplify, multiply both sides by the reciprocal of the second fraction: (15/38) * (19/20) : (20/19) * (19/20) (285/760) : 1 So, the simplified ratio is 285/760 : 1.
7 1/2 : 3/4 Convert the mixed number to an improper fraction: 7 1/2 = (2 * 7 + 1) / 2 = 15/2 Now you have the ratio as 15/2 : 3/4. To simplify, multiply both sides by the reciprocal of the second fraction: (15/2) * (4/3) : (3/4) * (4/3) (60/6) : 1 Now, simplify further: 10 : 1 So, the simplified ratio is 10 : 1.
I hope this helps!


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