please answer the ratio of -
4.8 to 5.8
4.8 to 5.3
4.8 to 6
4.8to 5.2
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Answers
We have ratios of whole numbers and ratios of decimal numbers too. It is required that ratios in simplified form have whole numbers.
Rules to simplify a ratio of decimals
To simplify a ratio of decimals we remove the decimal point and reduce the ratio to a ratio of whole numbers.
We multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal.
Then the fraction is simplified to be in its lowest terms.
This gives simplified ratio of decimals as a ratio of whole numbers in simplest form.
Example 1
Simplify the ratio 4.8:5.6
Solution
Step 1:
The ratio 4.8:5.6=
4.8
5.6
Step 2:
We multiply and divide the fraction by 10
4.8
5.6
=
(4.8×10)
(5.6×10)
=
48
56
Step 3:
HCF of 48 and 56 is 8
Simplifying
(
48
8
)
(
56
8
)
=
6
7
or 6:7
Step 4:
So, the simplified ratio of 4.8:5.6 is 6:7
Example 2
Simplify the ratio 6.3:1.89
Solution
Step 1:
The ratio 6.3:1.89=
6.3
1.89
Step 2:
We multiply and divide the fraction by 100
6.3
1.89
=
(6.3×100)
(1.89×100)
=
630
189
Step 3:
HCF of 630 and 189 is 63
Simplifying
(
630
63
)
(
189
63
)
=
10
3
or 10:3
Step 4:
So, the simplified ratio of 6.3:1.89 is 10:3
Answer:
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