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What will come in place of the question mark (?) in the following questions ?
`1400xx?=1050`

A

`1/4`

B

`3/4`

C

`3/5`

D

`2/3`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 1400 \times ? = 1050 \), we need to find the value that will replace the question mark. Let's denote the question mark as \( x \). ### Step-by-Step Solution: 1. **Set up the equation**: \[ 1400 \times x = 1050 \] 2. **Isolate \( x \)**: To find \( x \), we can divide both sides of the equation by 1400: \[ x = \frac{1050}{1400} \] 3. **Simplify the fraction**: We can simplify \( \frac{1050}{1400} \) by dividing both the numerator and the denominator by their greatest common divisor (GCD). First, we can cancel out the common zeros: \[ x = \frac{105}{140} \] 4. **Further simplification**: Now, we can simplify \( \frac{105}{140} \) by dividing both the numerator and the denominator by 5: \[ x = \frac{21}{28} \] Next, we can simplify \( \frac{21}{28} \) by dividing both by 7: \[ x = \frac{3}{4} \] 5. **Final answer**: Therefore, the value that comes in place of the question mark is: \[ x = \frac{3}{4} \] ### Conclusion: The answer is \( \frac{3}{4} \).
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