Equivalent fractions are various fractions that have actually the same value. The tantamount fractions the a given portion are those fractions, who numerators and denominators space in the same ratio as the of the initial fraction.

You are watching: What is equivalent to 8/12

Example: 1/3, 2/6, 3/9, 4/12..are identical fractions.

Finding equivalent fractions the a given portion − Formula

Equivalent portion of a given portion is obtained by multiplying or splitting its numerator and denominator through the same totality number.

For example, if us multiply the numerator and denominator of 2/3 through 4 we get.

2/3 = (2 × 4) / (3 × 4) = 8/12 which is one equivalent portion of 2/3.

Similarly, if we divide the numerator and denominator the 12/18 through 6 we get.

12/18 = (12 ÷ 6) / (18 ÷ 6) = 2/3. Therefore 12/18 is one equivalent fraction of 2/3 together well.

Problem 1:

Fill in the empty to do the fractions equivalent.

7/8 =? /40

### Solution

Step 1:

To acquire an tantamount fraction, we multiply the numerator and also the denominator by the exact same number

To walk from 7/8 to ?/40, we multiply the denominator and also numerator v 5 as follows.

7/8 = (7 × 5) / (8 × 5) = 35/40.

Step 2:

So we have actually filled the empty with 7 × 5 = 35.

So from 7/8 = 35/40, 35 is the answer.

7/8 and also 35/40 are indistinguishable fractions.

Step 3:

We can examine the answers with the pictures below

Below 7/8 parts are shaded. Separating each component into 5 same parts, we see that 35/40 that the smaller components are shaded.

Problem 2:

Fill in the empty to make the two fractions equivalent.

4/5 = ?/20

### Solution

Step 1:

To walk from 4/5 come ?/20, us multiply the denominator and also numerator with 4 together follows.

4/5 = (4 × 4) / (5 × 4) = 16/20.

Step 2:

So we have actually filled the empty with 4×4 = 16.

So from 4/5 = 16/20, 16 is the answer

4/5 and also 16/20 are equivalent fractions

Problem 3:

Fill in the blank to do the 2 fractions equivalent.

?/28 = 3/4

### Solution

Step 1:

To go from 3/4 to ?/28, we multiply the denominator and also numerator with 7 together follows.

3/4 = (3 × 7) / (4 × 7) = 21/28.

Step 2:

So we have actually filled the empty with 3×7 = 21.

So indigenous 21/28 = 3/4, 21 is the answer.

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3/4 and also 21/28 are tantamount fractions.

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