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What approximate value will come in plac...

What approximate value will come in place of the question mark(?) in the following questions ? (You are not expected to calculate the exact value.)
`3/5 xx 1125/1228 xx 7=?`

A

7

B

12

C

9

D

4

Text Solution

AI Generated Solution

The correct Answer is:
To find the approximate value of the expression \( \frac{3}{5} \times \frac{1125}{1228} \times 7 \), we can follow these steps: ### Step 1: Simplify the expression Start with the expression: \[ \frac{3}{5} \times \frac{1125}{1228} \times 7 \] ### Step 2: Rearrange the expression We can rearrange the expression to group the numbers: \[ = \frac{3 \times 1125 \times 7}{5 \times 1228} \] ### Step 3: Calculate the numerator Calculate the numerator: \[ 3 \times 1125 \times 7 \] First, calculate \( 3 \times 7 = 21 \). Now, multiply \( 21 \times 1125 \): \[ 21 \times 1125 = 23625 \] ### Step 4: Calculate the denominator Now calculate the denominator: \[ 5 \times 1228 \] This gives: \[ 5 \times 1228 = 6140 \] ### Step 5: Formulate the fraction Now we have: \[ \frac{23625}{6140} \] ### Step 6: Approximate the division To find the approximate value, we can simplify: \[ \frac{23625}{6140} \approx \frac{24000}{6000} = 4 \] ### Conclusion Thus, the approximate value that comes in place of the question mark (?) is: \[ \boxed{4} \]
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