Express the following ratios in the form 1: n - i)⅔: ⅞ ii) 0.65 : 0.25?

Answer 1

In the first one, MULTIPLY BOTH FRACTIONS BY THE COMMON DENOMINATOR (24) to get
16:21 THEN divide them both by the first term to get your required form
1:21/16 or 1:1.3125 (decimal form)

In the SECOND ONE, MULTIPLY BOTH BY 100 to get rid of the decimals. This gives
65:25 Divide both by 5 to reduce
13:5 Then, divide both by 13 to get your form
1:5/13.
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Answer 2

Express the following ratios in the form 1/( n - 1)⅔ :
1) ⅞ and 2) 0.65/ 0.25?

1) 7/8 = 1/(n-1)^(2/3)
7(n-1)^(2/3) = 8
(n-1)^(2/3) = 8/7
n-1 = (8/7)^(3/2)
Substitute the above in the original equation to get:
7/8 = 1/[(8/7)^3/2]^(2/3)

2) .65/.85 = 1/(n-1)^(2/3)
.85 = .65(n-1)^(2/3)
.85/.65= (n-1) ^(2/3)
(.85/.65)^(3/2) = n-1
Substitute the above in the original equation to get:
.65/.85 = 1/[(.65/.85)]^(2/3)

Answer 3

multiply the first by 3/2 to get 1: 21/16

Do the second as fractions to avoid a nasty nonrepeating decimal
13/20 : 1/4
multiple by 20/13 to get 20/52 = 5/13, or 1:5/13

Answer 4

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Answer 5

16/48:42/48
16:42
8:21

2.13:5