What should be substracted from `-3/5` to get `7/10` ?
Text Solution
AI Generated Solution
The correct Answer is:
To solve the problem of what should be subtracted from \(-\frac{3}{5}\) to get \(\frac{7}{10}\), we can follow these steps:
### Step 1: Set up the equation
Let \(x\) be the number that we need to subtract from \(-\frac{3}{5}\). The equation can be set up as follows:
\[
-\frac{3}{5} - x = \frac{7}{10}
\]
### Step 2: Rearrange the equation
To find \(x\), we can rearrange the equation:
\[
-x = \frac{7}{10} + \frac{3}{5}
\]
### Step 3: Find a common denominator
To add the fractions on the right side, we need a common denominator. The denominators are 10 and 5. The least common multiple (LCM) of 10 and 5 is 10. We can convert \(-\frac{3}{5}\) to a fraction with a denominator of 10:
\[
-\frac{3}{5} = -\frac{3 \times 2}{5 \times 2} = -\frac{6}{10}
\]
### Step 4: Add the fractions
Now we can add the fractions:
\[
-x = \frac{7}{10} - \frac{6}{10} = \frac{1}{10}
\]
### Step 5: Solve for \(x\)
Now, we can solve for \(x\) by multiplying both sides by -1:
\[
x = -\frac{1}{10}
\]
### Conclusion
Thus, the number that should be subtracted from \(-\frac{3}{5}\) to get \(\frac{7}{10}\) is:
\[
\boxed{-\frac{1}{10}}
\]
Topper's Solved these Questions
RATIONAL NUMBERS
ICSE|Exercise EXERCISE 2A |19 Videos
RATIONAL NUMBERS
ICSE|Exercise EXERCISE 2B|4 Videos
RATIO AND PROPORTION
ICSE|Exercise Challenge |1 Videos
REPRESENTING 3 - D IN 2- D
ICSE|Exercise EXERCISE 20 B |1 Videos
Similar Questions
Explore conceptually related problems
What should be substracted from -2/3 to get 1?
What should be substracted from -3/4 to get -5/6 ?
What should be subtracted from 50 to get 34.57 ?
What should be subtracted from (-3)/4 so as to get 5/6?
What should be subtracted from (-3)/4 so as to get 5/6?
What should be subtracted from -(3)/(8) to get (5)/(6) ?
(i) What should be subtracted from -2 to get (3)/(8) ? (ii) What should be added to -2 to get (3)/(8) ?
What should be subtracted from (-2)/3\ to get 4/5? (a) (22)/(15)\ (b) (-22)/(15) (c) (15)/(22) (d) (-15)/(22)
What should be subtracted from (-5)/(4) to get -1? (a) (-1)/(4) (b) (1)/(4) (c) 1 (d) (-3)/(4)
What number should be subtracted from 3/7 to get 5/4?
ICSE-RATIONAL NUMBERS -REVISION EXERCISE (FILL IN THE BOXES).