Equivalent fountain are various fractions that have the same value. The identical fractions the a given fraction are those fractions, who numerators and denominators room in the same ratio as the of the original fraction.

You are watching: What fraction is equivalent to 2/6

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

Finding identical fractions that a given portion − Formula

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

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

2/3 = (2 × 4) / (3 × 4) = 8/12 i beg your pardon is one equivalent fraction of 2/3.

Similarly, if we division the numerator and also denominator that 12/18 through 6 us get.

12/18 = (12 ÷ 6) / (18 ÷ 6) = 2/3. For this reason 12/18 is an equivalent portion of 2/3 together well.

Problem 1:

Fill in the empty to make the fractions equivalent.

7/8 =? /40

### Solution

Step 1:

To gain an identical fraction, us multiply the numerator and also the denominator through the very same number

To go from 7/8 to ?/40, us multiply the denominator and also numerator with 5 together follows.

7/8 = (7 × 5) / (8 × 5) = 35/40.

Step 2:

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

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

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

Step 3:

We can examine the answers v the pictures below

Below 7/8 components are shaded. Splitting each component into 5 equal parts, we watch that 35/40 of the smaller parts are shaded. Problem 2:

Fill in the empty to make the 2 fractions equivalent.

4/5 = ?/20

### Solution

Step 1:

To walk from 4/5 come ?/20, we multiply the denominator and numerator v 4 as follows.

4/5 = (4 × 4) / (5 × 4) = 16/20.

Step 2:

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

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

4/5 and 16/20 are identical fractions

Problem 3:

Fill in the empty to make the two fractions equivalent.

?/28 = 3/4

### Solution

Step 1:

To go from 3/4 come ?/28, us multiply the denominator and also numerator through 7 together follows.

3/4 = (3 × 7) / (4 × 7) = 21/28.

Step 2:

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

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

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3/4 and 21/28 are identical fractions.

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