What should be added to 6715 to get 815 -

Let nbsp;x be added to nbsp;6715 nbsp;to get 815. nbsp; #8756; #160;6715 #160;+ #160;x #160;= #160;815Therefore, #160;we #160;have: # ...

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Standard VI

Mathematics

BODMAS

What should b...

Question

What should be added to $6 \frac{7}{15}$ to get $8 \frac{1}{5}$ ?

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Solution

Let $x$ be added to $6 \frac{7}{15}$ to get $8 \frac{1}{5}$
$\Rightarrow 6 \frac{7}{15} + x = 8 \frac{1}{5}$
$\Rightarrow x = \frac{7}{15} - 8 \frac{1}{5}$
$\Rightarrow x = \frac{97}{15} - \frac{41}{5}$
L.C.M. of $5$ and $15$ is $15$
$\Rightarrow x = \frac{97}{15} - \frac{41}{5} \times \frac{3}{3}$
$\Rightarrow x = \frac{97}{15} - \frac{123}{15}$
$\Rightarrow x = - \frac{26}{15}$
$\Rightarrow x = - 1 \frac{11}{15}$
Therefore, $- 1 \frac{11}{15}$ is the required number

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Similar questions

What should be added to $6 \frac{7}{15}$ to get $8 \frac{1}{5}$ ?
(a) $1 \frac{11}{15}$
(b) $- 1 \frac{11}{15}$
(c) $4 \frac{4}{3}$
(d) $\frac{3}{44}$

Q. Mark (✓) against the correct answer
What should be added to

\frac{- 3}{5} to get \frac{- 1}{3} ?

(a)

\frac{4}{5}

(b)

\frac{8}{15}

(c)

\frac{4}{15}

(d)

\frac{2}{5}

Q. What should be added to

9 \frac{2}{3}

to get 19?

Q. By what number should

\frac{- 8}{15}

be multiplied to get 24?

Q. (i) What should be added to 36.85 to get 59.41?
(ii) What should be subtracted from 17.1 to get 2.051?

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What should be added to 6715 to get 815?

Let x be added to 6715 to get 815 ⇒6715+x=815⇒x=715−815⇒x=9715−415L.C.M. of 5 and 15 is 15⇒x=9715−415×33⇒x=9715−12315⇒x=−2615⇒x=−11115Therefore, −11115 is the required number

What should be added to $6 \frac{7}{15}$ to get $8 \frac{1}{5}$ ?