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Byju's Answer

Standard VII

Mathematics

Division of Fractions

Sum of four t...

Question

Sum of four times a fraction and $6$ times its reciprocal is $11$ . What is the fraction?

\frac{3}{4}

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\frac{4}{3}

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\frac{4}{7}

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\frac{7}{4}

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Solution

The correct option is A $\frac{3}{4}$
Let the fraction be $x$ .
$4 x + \frac{6}{x} = 11$
$4 x^{2} - 11 x + 6 = 0 \Rightarrow x = \frac{3}{4}$ .

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Similar questions

Q. The sum of a fraction and

3

times its reciprocal is

\frac{19}{4}

.What is the fraction?

Q. 6 times a fraction is greater than 7 times its reciprocal by 11. What is the fraction, if both fractions are positive and real?

Q. The sum of four times a number and three times its reciprocal is 7, then that number is

\frac{3}{4}

or 1. State true or false.

Q. Multiply and reduce to lowest form and convert into a mixed fraction
(i)

7 \times \frac{3}{5}

(ii)

4 \times \frac{1}{3}

(iii)

2 \times \frac{6}{7}

(iv)

5 \times \frac{2}{9}

(v)

\frac{5}{2} \times 6

(vi)

11 \times \frac{4}{7}

(vii)

20 \times \frac{4}{5}

(viii)

\frac{2}{3} \times 4

Multiply and reduce to lowest form and convert into a mixed fraction:

(i) $7 \times \frac{3}{5}$ (ii) $4 \times \frac{1}{3}$
(iii) $2 \times \frac{6}{7}$ (iv) $5 \times \frac{2}{9}$

(v) $\frac{2}{3} \times 4$ (vi) $\frac{5}{2} \times 6$
(vii) $11 \times \frac{4}{7}$ (viii) $20 \times \frac{4}{5}$
(ix) $13 \times \frac{1}{3}$ (x) $15 \times \frac{3}{5}$

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Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

The correct option is A 34Let the fraction be x.4x+6x=114x2−11x+6=0⇒x=34.

Sum of four times a fraction and $6$ times its reciprocal is $11$ . What is the fraction?

The correct option is A $\frac{3}{4}$
Let the fraction be $x$ .
$4 x + \frac{6}{x} = 11$
$4 x^{2} - 11 x + 6 = 0 \Rightarrow x = \frac{3}{4}$ .