Question

By what number should 4 1/4 Be multiplied to get 8 1/2

Answer 1

Step-by-step explanation:

let the number to be multiplied be x

41/4 * X =81/2

So , X = 81/2 * 4/41

So, X = 162/41

Answer 2

The correct number is 2.

Given - Result

Find - Number

Solution - This question can be solved by multiplying the assumed number with 4 1/4. Let the number be x.

Representing this in equation form to find the value of x and hence the number.

$4 \frac{1}{4} \times x = 8 \frac{1}{2}$

Now converting mixed fraction to improper fraction.

$\frac{(4 \times 4) + 1}{4} \times x = \frac{(2 \times 8) + 1}{2}$

$\frac{17}{4} \times x = \frac{17}{2}$

Shifting values to Right Hand Side of equation

$x = \frac{17 \times 4}{2 \times 17}$

Cancelling 17 as it is common in both numerator and denominator

$x = \frac{4}{2}$

Performing Division

x = 2

Hence, 4 1/4 should be multiplied with 2 to get 8 1/2.

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