Question

Find the number z, if 1 4/11 of z is 45. (FIRST PERSON TO ANSWER CORRECTLY GETS 5 STARS AND A THANKS.)

Answer 1

The value of z in the equation
`1(4)/(11)` of z is 45 is 33.

Solution:

Given:
`1(4)/(11)` of z = 45

To find: The value of z

On solving the given equation,

`1(4)/(11)* z=45`

`\Rightarrow(1*11+4)/(11)* z=45`

`\Rightarrow(15)/(11)z=45`

On grouping the like terms in one side we get,

`\Rightarrow z=45*(11)/(15)`

On solving the values we get,

`\Rightarrow z=3*11\rightarrow33`

The required value of z is 33.

Steps to convert a mixed fraction into an improper fraction:

Step 1: Multiply the whole number part by the fraction's denominator.

Step 2: Add that to the numerator.

Step 3: Then write the result on top of the denominator.