8.The sum of two fractions is 3 1 point
5/12. if one of them is 13/10,find
the other fraction.
O A.2 3/60
O B.27/60
O C.37/60
O 0.47/60
Answers
Answered by
0
Answer:
The other fraction is 2\dfrac{7}{12}2
12
7
.
Step-by-step explanation:
Given,
The sum of the two fraction = 5\dfrac{3}{9}=\dfrac{9\times 5+3}{9}=\dfrac{48}{9}5
9
3
=
9
9×5+3
=
9
48
and
One of the fraction =2\dfrac{3}{4}=\dfrac{4\times 2+3}{4}=\dfrac{11}{4}=2
4
3
=
4
4×2+3
=
4
11
Let the other fraction = x
To find, the other fraction = ?
According to question,
\dfrac{11}{4}+x=\dfrac{48}{9}
4
11
+x=
9
48
⇒ x=\dfrac{16}{3}-\dfrac{11}{4}x=
3
16
−
4
11
Taking the LCM of 3 and 4 = 12
⇒ x=\dfrac{64-33}{12}x=
12
64−33
⇒ x=\dfrac{31}{12}x=
12
31
⇒ x = 2\dfrac{7}{12}2
12
7
∴ The other fraction = 2\dfrac{7}{12}2
12
7
Thus, the other fraction is 2\dfrac{7}{12}2
12
7
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