Answer:
To determine if the numbers 3, 4½, 2⅔, and 4 are in proportion, we can compare their ratios.
Let's calculate the ratios between consecutive numbers:
Ratio between 3 and 4½: 3/4½ = 6/9 = 2/3 ≈ 0.6667
Ratio between 4½ and 2⅔: 4½/2⅔ = 9/8 ≈ 1.125
Ratio between 2⅔ and 4: 2⅔/4 = 8/12 = 2/3 ≈ 0.6667
Since the ratios between each pair of consecutive numbers are not equal, the numbers 3, 4½, 2⅔, and 4 are not in proportion.
Step-by-step explanation:
To determine if the given numbers 3, 4½, 2⅔, and 4 are in proportion, we can check whether the ratios of consecutive pairs of numbers are equal.
Let's check the ratios:
4
½
3
=
9
6
2
4½
⅔
8
2⅔
- To make this comparison, convert
2⅔ to an improper fraction:
.
1
×
Since all the ratios are equal and simplify to
, the given numbers 3, 4½, 2⅔, and 4 are in proportion.
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Verified answer
Answer:
To determine if the numbers 3, 4½, 2⅔, and 4 are in proportion, we can compare their ratios.
Let's calculate the ratios between consecutive numbers:
Ratio between 3 and 4½: 3/4½ = 6/9 = 2/3 ≈ 0.6667
Ratio between 4½ and 2⅔: 4½/2⅔ = 9/8 ≈ 1.125
Ratio between 2⅔ and 4: 2⅔/4 = 8/12 = 2/3 ≈ 0.6667
Since the ratios between each pair of consecutive numbers are not equal, the numbers 3, 4½, 2⅔, and 4 are not in proportion.
Answer:
Step-by-step explanation:
To determine if the given numbers 3, 4½, 2⅔, and 4 are in proportion, we can check whether the ratios of consecutive pairs of numbers are equal.
Let's check the ratios:
4
½
3
=
9
6
=
3
2
3
4½
=
6
9
=
2
3
2
⅔
4
½
=
8
6
=
4
3
4½
2⅔
=
6
8
=
3
4
4
2
⅔
2⅔
4
- To make this comparison, convert
2
⅔
2⅔ to an improper fraction:
8
3
3
8
.
4
8
3
=
4
1
×
3
8
=
3
2
3
8
4
=
1
4
×
8
3
=
2
3
4
2
⅔
=
4
8
3
=
4
1
×
3
8
=
3
2
2⅔
4
=
3
8
4
=
1
4
×
8
3
=
2
3
Since all the ratios are equal and simplify to
3
2
2
3
, the given numbers 3, 4½, 2⅔, and 4 are in proportion.