Equivalent fractions room the fractions having actually the exact same value. Same portion can be represented in plenty of ways. Let us take the adhering to example.

You are watching: Fractions equivalent to 3/5

The shaded part in snapshot (ii) is stood for by fraction (frac24). In photo (iii) the same part is stood for by fraction (frac48). SO, the fraction represented by these shaded portions are equal. Such fractions are dubbed equivalent fractions.

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

Hence, for a given fraction there deserve to be many equivalent fractions.

Making tantamount Fractions:

We have seen in the above example that (frac12), (frac24) and also (frac48) are identical fractions.

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

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

Same way, as soon as the numerator and denominator the a portion are divided by the same number, we acquire 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 the 1/2 by 2, 3 and also 4 respectively.Thus, an equivalent fraction of a given fraction can be acquired by multiply its numerator and denominator by 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 divide the numerators and denominators that 2/4, 3/6 and 4/8 every by their common factor 2, we obtain an equivalent fraction 1/2.Thus, an equivalent fraction of a given portion can be derived by splitting its numerator and denominator by their usual factor (other 보다 1), if ant.

Note:

(i) multiply its molecule (top) and also denominator (bottom) through the same number (other than 0).(ii) dividing its molecule (top) and denominator (bottom) through 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, equivalent fractions that 3/5 space 6/10, 9/15 and also 12/20.

2. Write next 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 by 3. Us get

(frac2 × 33 × 3) = (frac69).

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

(frac2 × 43 × 4) = (frac812).

Therefore, equivalent fractions the (frac23) space (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 space 2/8, 3/12 and 4/16.4. Write three equivalent portion 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, tantamount fractions of 2/15 are 4/30, 6/45 and 8/60.5. Write three equivalent fraction of 3/10.Equivalent fractions of 3/10 are:(3× 2)/(10× 2) = 6/20,(3 × 3)/(10 × 3) = 9/30,(3× 4)/(10× 4) = 12/40Therefore, equivalent fractions the 3/10 room 6/20, 9/30 and also 12/40.

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● Fraction

Representations of fountain on a Number Line

Fraction as Division

Types the Fractions

Conversion of combined Fractions right into Improper Fractions

Conversion of not correct Fractions right into Mixed Fractions

Equivalent Fractions

Interesting Fact about Equivalent Fractions

Fractions in shortest Terms

Like and Unlike Fractions

Comparing choose Fractions

Comparing unlike Fractions

Addition and Subtraction of favor Fractions

Addition and Subtraction of unequal Fractions

Inserting a portion between Two given Fractions

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