Question

find two equivalent ratio of 3:4

Answer 1

Answer:

Two equivalent ratios of 3:4 are 6:8 and 9:12

Step-by-step explanation:

To find,

The equivalent ratio of 3:4

Solution:

The equivalent fraction of a given fraction is obtained by multiplying the numerator and denominator of the fraction with the same number.

The given ratio is 3:4

It can be expressed as $\frac{3}{4}$

To get an equivalent fraction of  $\frac{3}{4}$, multiply the numerator and denominator by 2 we get

$\frac{3}{4} = \frac{3X2}{4X2} = \frac{6}{8}$

Again to get another equivalent fractions of  $\frac{3}{4}$, multiply the numerator and denominator by 3

$\frac{3}{4} = \frac{3X3}{4X3} = \frac{9}{12}$

Hence two equivalent fractions of  $\frac{3}{4}$, are $\frac{6}{8},\frac{9}{12}$

∴ Two equivalent ratios of 3:4 are 6:8 and 9:12

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Answer 2

Answer:

The two equivalent ratio of 3:4 are 12:16 and 30:40.

Step-by-step explanation:

Equivalent ratio:-

• The ratio remains the same when we compare them, such ratios are called equivalent ratios.

According to the question,

Given:-

The ratio is 3:4.

To find:-

The equivalent ratio of 3:4.

Consider the given ratio as follows:

3:4

It can be re-written as:

3/4

Now,

Multiply the numerator and the denominator of 3/4 by the number 4 as follows:

⇒ $\frac{3\times4}{4\times4}$

⇒ $\frac{12}{16}$

⇒ 12:16

Multiply the numerator and the denominator of 3/4 by the number 10 as follows:

⇒ $\frac{3\times10}{4\times10}$

⇒ $\frac{30}{40}$

⇒ 30:40

Notice that the ratios 12:16 and 30:40 are equivalent to 3:4 when they are reduced to simplest form.

Therefore, the two equivalent ratio of 3:4 are 12:16 and 30:40.

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