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What should be subtracted from - 9/20 to...

What should be subtracted from `- 9/20` to get `-1/5` ?

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To solve the problem of what should be subtracted from \(-\frac{9}{20}\) to get \(-\frac{1}{5}\), we can follow these steps: ### Step-by-Step Solution 1. **Set up the equation**: We want to find a number \(x\) such that: \[ -\frac{9}{20} - x = -\frac{1}{5} \] 2. **Rearrange the equation**: To isolate \(x\), we can add \(x\) to both sides and add \(-\frac{1}{5}\) to both sides: \[ -\frac{9}{20} + \frac{1}{5} = x \] 3. **Convert \(-\frac{1}{5}\) to a fraction with a denominator of 20**: We know that: \[ -\frac{1}{5} = -\frac{4}{20} \quad (\text{because } 1 \times 4 = 4 \text{ and } 5 \times 4 = 20) \] 4. **Substitute the converted fraction back into the equation**: Now we substitute: \[ x = -\frac{9}{20} + \left(-\frac{4}{20}\right) \] 5. **Combine the fractions**: Since both fractions have the same denominator, we can combine them: \[ x = \frac{-9 - 4}{20} = \frac{-13}{20} \] 6. **Final answer**: Therefore, the value of \(x\) is: \[ x = -\frac{13}{20} \] ### Conclusion So, \(-\frac{13}{20}\) should be subtracted from \(-\frac{9}{20}\) to get \(-\frac{1}{5}\).
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MTG IIT JEE FOUNDATION-RATIONAL NUMBERS -SOLVED EXAMPLE
  1. Find 3 rational numbers between (3)/(4) and (1)/(2).

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  2. Evaluate: 2 + (8)/(-9) + (-2)/(3)

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  3. Evaluate: 1 - ((5)/(-7)) -(3)/(14)

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  4. What should be subtracted from - 9/20 to get -1/5 ?

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  5. Simplify : ((21)/(16) xx (12)/(9)) div ((-3)/(8) xx ((-12)/(9)))

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  6. Verify x xx (y + z ) = (x xx y) + (x xx z) , if x = (-3)/(2) , y = (...

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  7. Find four rational numbers between 1/9 and 1/3 and represent them on t...

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  8. Solve the following. (1)/(2) + ((-7)/(5))

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  9. Simplify the following. (1)/(3) + ((2)/(5) + ((-11)/(15)))

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  10. Solve the following. (-6)/(7) + 0

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  11. Solve the following. (-8)/(9) + (8)/(9)

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  12. Simplify the rational number and represent them on the number line. ...

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  13. Simplify the rational number and represent them on the number line. ...

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  14. Arrange the following numbers in ascending order : (9)/(15), (-8)/(2),...

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  15. Arrange the rational numbers (-3)/(7), (5)/(-14) , (-7)/(12) in ascend...

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  16. How many piece of tape 3 (4)/(7) cm long can be cut from a long tape, ...

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  17. Divide the sum of (-8)/(7) and (5)/(14) by their product.

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  18. Simplify: ((- 91)/( 63) xx (-35)/(26)) - (-3 (4)/(17) xx (-85)/(33)) +...

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  19. Simplify: (7)/(5) - (-9)/(19) + (5)/(-38)

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  20. Simplify: [ (5)/(23) + (- (18)/(115)) + ((- 28)/(138)) ]xx [ ((23)/(14...

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