Concept for equivalent fraction



1 3
2 6 2×1 3×2 = 1 3
4 12 4×1 3×4 = 1 3
8 24 8×1 3×8 = 1 3 // 1 3 = //1/3 =2/6 2 6 = //2/6=4/12 4 12 = //8/24 8 24

How to find equivalent Fractions of any fraction



How to find equivalent Fractions of any fraction Multiply the numerator and denominator of the fraction with number 1,2,3,4,5 and so on.. 3 5 ×2 ×2 = 6 10 // 3 5 ×3 ×3 = 9 15 // 3 5 ×4 ×4 = 12 20 // 3 5 ×5 ×5 = 15 25 //
Question Show that $1/5$ , $6/30$ , $3/15$ , $2/10$ are equivalent fractions .

Answer:
$1/5$ = $1/5$

$6/30$ = $6/{5×6}$ =$1/5$

$3/15$ = $3/{3×5}$ = $1/5$

$2/10$ = $2/{2×5}$ = $1/5$

Therefore all the fraction is reducible to $1/5$ , hence they are equivalent fractions.

Question : Find a fraction equivalent to $8/15$ with a numerator 32.
$8/15$ = $32/?$
Answer:
Since the numerator of both the fractions is given Numerator of first fraction $8/15$ is 8.
Numerator of second fraction is 32.
So if we divide 32 with 8 , the quotient is 4 .
So if we multiply first fraction with the Quotient 4 , it gives
${8×4}/{15×4}$ = $32/60$ Hence the equivalent fraction is $32/60$

Question: Find the fraction equivalent to $8/15$ with the denominator 60.
$8/15$ = $?/60$

Answer Since the denominator of both the fractions is given.
The denominator are 15 and 60 .
Therefore on dividing   $60/15$ , the quotient is 4 .
So , if we multiply numerator and denominator of first fraction with the quotient 4, it give the required answer.
${8×4}/{15×4}$ = $32/60$
Therefore 32 is the answer.


Test Your Understanding
Question: Fill the missing number if the fractions is equivalent.
1)

$1/3$ =$5/?$




2) $5/9$= $?/27$


3) $15/18$=$?/24$


4) $?/4$=$4/16$


5) $2/?$=$8/16$


6) $6/9$=$?/18$


7) $5/4$=$25/?$


8) $?/7$=$10/35$


9) $?/20$=$10/25$


10) $2/4$=$?/8$



Score: