Equivalent fractions room the fractions having the exact same value. Same fraction can be stood for in plenty of ways. Let united state take the adhering to example.

You are watching: Write two equivalent fractions for 2 3 The shaded part in picture (ii) is stood for by fraction $$\frac24$$. In photo (iii) the same component is represented by fraction $$\frac48$$. SO, the portion represented by this shaded portions are equal. Together fractions are referred to as equivalent fractions.

We to speak that $$\frac12$$ = $$\frac24$$ = $$\frac48$$

Hence, because that a given fraction there can be plenty of equivalent fractions.

Making equivalent Fractions:

We have seen in the above example that $$\frac12$$, $$\frac24$$ and $$\frac48$$ are equivalent fractions.

Therefore, $$\frac12$$ deserve to be created as $$\frac12$$ = $$\frac1 × 22 × 2$$ = $$\frac1 × 32 × 3$$ = $$\frac1 × 42 × 4$$ and also so on.

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

Same way, once the numerator and denominator of a portion are divided by the exact same number, we gain its equivalent 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 4/8 are obtained by multiplying the numerator and also denominator of 1/2 by 2, 3 and also 4 respectively.Thus, one equivalent portion of a given fraction can be acquired by multiplying its numerator and denominator through the exact 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 division the numerators and denominators the 2/4, 3/6 and also 4/8 each by their typical factor 2, we get an equivalent portion 1/2.Thus, an equivalent portion of a given portion can be obtained by splitting its numerator and denominator by their typical factor (other 보다 1), if ant.

Note:

(i) multiply its numerator (top) and also denominator (bottom) by the exact same number (other than 0).(ii) splitting its numerator (top) and also denominator (bottom) by their typical factor (other 보다 1).For Example:1. Write 3 equivalent fraction 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, tantamount fractions that 3/5 space 6/10, 9/15 and 12/20.

2. Write following three equivalent portion of $$\frac23$$.

We main point the numerator and the denominator by 2.

We get, $$\frac2 × 23 × 2$$ = $$\frac46$$

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

$$\frac2 × 33 × 3$$ = $$\frac69$$.

Next, we multiply the numerator and also the denominator by 4. We get

$$\frac2 × 43 × 4$$ = $$\frac812$$.

Therefore, equivalent fractions of $$\frac23$$ room $$\frac46$$, $$\frac69$$ and also $$\frac812$$.

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

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● Fraction

Representations of fractions on a Number Line

Fraction together Division

Types that Fractions

Conversion of blended Fractions into Improper Fractions

Conversion of improper Fractions into Mixed Fractions

Equivalent Fractions

Fractions in lowest Terms

Like and also Unlike Fractions

Comparing like Fractions

Comparing unlike Fractions

Addition and also Subtraction of favor Fractions

Addition and also Subtraction of unlike Fractions

Inserting a portion between Two offered Fractions