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Q.

3 : 4 in percentage is ____.

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Detailed Solution

Concept: The ratio

3 : 4 = 75 %

. In order to answer this question, we must first change the given ratio (3:4) into fraction form. To convert the given ratio (3:4) to percentage form, double the fractional form you just got by 100.
A fraction with a denominator of 100, or 1100, is a percentage.
The word "percentage" comes from the Latin "per " which means "per hundred" as we explained in the definition above.
The percent symbol serves as a symbol for it.
One percent

(1 %) is \frac{1}{100} = 0.01

A ratio can be written in fraction form as "a/b" in order to be converted into a percentage. For example, "a:b" can be written in fraction form as "a/b." The fraction should then be multiplied by 100 and the result added with the percent symbol.
The ratio given is 3:4.
We get 3:4=

\frac{3}{4}

when we convert the supplied ratio to a fraction.
The resulting fraction is now multiplied by 100, giving us the following results: percent of

3 : 4 = (\frac{3}{4} \times 100)

percent; percent of

3 : 4 = (3 \times 25

) percent; and percent of

3 : 4 = 75

percent.
Hence,

3 : 4

is converted to a percentage at 75%.
ExamType: CBSE

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