What number should be added to 23-35 to get -215-

Let the required number be nbsp;x According to the equestion, (23+35)+x= 215 ⇒ x= 215 (23+35) = 215 (2×53×5+3×35×3) = 215 (1015+915) = 215 (10+915) = 2 ...

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Standard VII

Mathematics

Types of Fractions

What number s...

Question

What number should be added to $(\frac{2}{3} + \frac{3}{5})$ to get $\frac{- 2}{15}$ ?

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Solution

Let the required number be $x$

According to the equestion,

$(\frac{2}{3} + \frac{3}{5}) + x = \frac{- 2}{15}$

$\Rightarrow x = \frac{- 2}{15} - (\frac{2}{3} + \frac{3}{5})$

$= \frac{- 2}{15} - (\frac{2 \times 5}{3 \times 5} + \frac{3 \times 3}{5 \times 3})$

$= \frac{- 2}{15} - (\frac{10}{15} + \frac{9}{15})$

$= \frac{- 2}{15} - (\frac{10 + 9}{15})$

$= \frac{- 2 - 19}{15}$

$= \frac{- 21}{15}$

$= \frac{- 7}{5}$

Hence, the required number is $\frac{- 7}{5}$ .

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Types of Fractions

Standard VII Mathematics

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What number should be added to (23+35) to get −215?

Let the required number be x According to the equestion, (23+35)+x=−215 ⇒x=−215−(23+35) =−215−(2×53×5+3×35×3) =−215−(1015+915) =−215−(10+915) =−2−1915 =−2115 =−75 Hence, the required number is −75.

What number should be added to $(\frac{2}{3} + \frac{3}{5})$ to get $\frac{- 2}{15}$ ?