Equivalent fractions are the fractions having the very same value. Same fraction can be stood for in countless ways. Let united state take the adhering to example.

You are watching: Equivalent fraction of 2/3

The shaded component in snapshot (ii) is represented by fraction (frac24). In snapshot (iii) the same part is stood for by fraction (frac48). SO, the fraction represented by this shaded portions are equal. Such fractions are referred to as equivalent fractions.

We say that (frac12) = (frac24) = (frac48)

Hence, because that a given portion there have the right to be plenty of equivalent fractions.

Making equivalent Fractions:

We have actually seen in the over example the (frac12), (frac24) and also (frac48) are equivalent fractions.

Therefore, (frac12) can be composed as (frac12) = (frac1 × 22 × 2) = (frac1 × 32 × 3) = (frac1 × 42 × 4) and so on.

Hence, an equivalent portion of any given fraction can be obtained by multiplying its numerator and denominator by the same number.

Same way, when the numerator and also denominator the a portion are divided by the very same number, we get its tantamount fractions.

(frac12) = (frac1 ÷ 12 ÷ 1) = (frac24) = (frac2 ÷ 24 ÷ 2) = (frac36) = (frac3 ÷ 36 ÷ 3)

We have,

2/4 = (1 × 2)/(2 × 2)3/6 = (1 × 3)/(2 × 3)4/8 = (1 × 4)/(2 × 4)We observe the 2/4, 3/6 and also 4/8 are acquired by multiplying the numerator and also denominator of 1/2 through 2, 3 and 4 respectively.Thus, an equivalent portion of a given fraction can be derived by multiply its numerator and denominator by the very same number (other 보다 zero).2/4 = (2÷ 2)/(4 ÷ 2) = 1/23/6 = (3÷ 3)/(6 ÷ 3) = 1/24/8 = (4 ÷ 4)/(8 ÷ 4) = 1/2We observe the if we divide the numerators and also denominators of 2/4, 3/6 and 4/8 every by their usual factor 2, we acquire an equivalent portion 1/2.Thus, an equivalent portion of a given portion can be derived by separating its numerator and denominator through their typical factor (other than 1), if ant.

Note:

(i) multiply its numerator (top) and denominator (bottom) through the very same number (other than 0).(ii) dividing its molecule (top) and denominator (bottom) by their common factor (other than 1).For Example:1. Write 3 equivalent portion of 3/5.Equivalent fractions of 3/5 are:(3 × 2)/(5× 2) = 6/10,(3 × 3)/(5 × 3) = 9/15,(3 × 4)/(5 × 4) = 12/20Therefore, indistinguishable fractions the 3/5 are 6/10, 9/15 and also 12/20.

2. Write following three equivalent portion of (frac23).

We multiply the numerator and the denominator by 2.

We get, (frac2 × 23 × 2) = (frac46)

Next, us multiply the numerator and also the denominator by 3. We get

(frac2 × 33 × 3) = (frac69).

Next, us multiply the numerator and also the denominator by 4. Us get

(frac2 × 43 × 4) = (frac812).

Therefore, identical fractions that (frac23) room (frac46), (frac69) and also (frac812).

3. Write three equivalent fraction of 1/4.Equivalent fractions of 1/4 are:(1× 2)/(4× 2) = 2/8,(1 × 3)/(4 × 3) = 3/12,(1× 4)/(4× 4) = 4/16Therefore, identical fractions of 1/4 are 2/8, 3/12 and 4/16.4. Write three equivalent fraction of 2/15.Equivalent fractions of 2/15 are:(2× 2)/(15 × 2) = 4/30,(2 × 3)/(15 × 3) = 6/45,(2× 4)/(15 × 4) = 8/60Therefore, identical fractions the 2/15 space 4/30, 6/45 and 8/60.5. Write three equivalent fraction of 3/10.Equivalent fountain of 3/10 are:(3× 2)/(10× 2) = 6/20,(3 × 3)/(10 × 3) = 9/30,(3× 4)/(10× 4) = 12/40Therefore, identical fractions the 3/10 room 6/20, 9/30 and also 12/40.

See more: How Much Does A Skeleton Weigh ? How Much Does A Human Skeleton Weigh

● Fraction

Representations of fountain on a Number Line

Fraction together Division

Types that Fractions

Conversion of mixed Fractions right into Improper Fractions

Conversion of wrong Fractions into Mixed Fractions

Equivalent Fractions

Fractions in shortest Terms

Like and also Unlike Fractions

Comparing favor Fractions

Comparing unlike Fractions

Addition and Subtraction of prefer Fractions

Addition and Subtraction of unequal Fractions

Inserting a fraction between Two provided Fractions