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 $1\frac{4}{11}$ of z is 45 is 33.

Solution:

Given: $1\frac{4}{11}$ of z = 45

To find: The value of z

On solving the given equation,

$1\frac{4}{11}\times z=45$

$\Rightarrow\frac{1\times11+4}{11}\times z=45$

$\Rightarrow\frac{15}{11}z=45$

On grouping the like terms in one side we get,

$\Rightarrow z=45\times\frac{11}{15}$

On solving the values we get,

$\Rightarrow z=3\times11\rightarrow33$

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.