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vampirchik [111]
2 years ago
12

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

Mathematics
1 answer:
Vlad [161]2 years ago
3 0

The value of z in the equation 1\frac{4}{11} of z is 45 is 33.

<u>Solution:</u>

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.

<u>Steps to convert a mixed fraction into an improper fraction:</u>

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.

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