The sum of two rational number 7⅔ . if one of the number is 3⅙ find the other number.
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2
Answer:
let them either number be x
72/3 = 31/6+x
By making the denominator same
the numbers we get are
74/6 and 31/6
74/6=31/6 + x
x = 74/6-31/6
x = 43/6 = 41/2
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Step-by-step explanation:
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ATQ, the sum of two rational number is 7⅔ and one of the no. is 3 1/6
we have to find the other no.
so first of all, we needa convert the mixed fraction in proper fraction.
7⅔ = [(3 × 7) + 2]/3 = 23/3
3 ¹/6 = [(6 × 3) + 1]/6 = 19/6
now, let us take the other no. as x
therefore 19/6 + x = 23/6
➡ x = 23/3 - 19/6
LCM of 3 and 6 = 3 × 2 = 6
➡ x = (23 × 2)/(3 × 2) - 19/6
➡ x = 46/6 - 19/6
➡ x = 27/6 = (3 × 3 × 3)/(2 × 3)
➡ x = 9/2
or x = 4½
hence the other no. is 4½
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