The value of z in the equation [tex]1\frac{4}{11}[/tex] of z is 45 is 33.
Solution:
Given: [tex]1\frac{4}{11}[/tex] of z = 45
To find: The value of z
On solving the given equation,
[tex]1\frac{4}{11}\times z=45[/tex]
[tex]\Rightarrow\frac{1\times11+4}{11}\times z=45[/tex]
[tex]\Rightarrow\frac{15}{11}z=45[/tex]
On grouping the like terms in one side we get,
[tex]\Rightarrow z=45\times\frac{11}{15}[/tex]
On solving the values we get,
[tex]\Rightarrow z=3\times11\rightarrow33[/tex]
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.
