Question

How do you write $4$ times $5y$ divided by $18?$

Answer 1

Hint: We will write the expression in Mathematical form. We will write the Mathematical counterpart of each term in the given statement. Then we will simplify the obtained mathematical expression using the operations accordingly.

Complete step by step answer:
Let us consider the given statement, $4$ times $5y$ divided by $18.$
We are asked to simplify the given statement.
So, we need to write the Mathematical counterpart of each term in the given statement.
Let us consider each of the terms written in the statement.
The first term is the number $4$ which itself is a mathematical term or number.
The second term is the word ‘times.’
Now, we need to write the Mathematical counterpart of this word. And we know by the word ‘times’, we mean the multiplication.
So, from the first two terms of the statement, we will get $4\times 5y$ divided by $18.$
Let us consider the rest of the terms in the statement together.
When we say that a term is divided by another, then we mean to say that the latter divides the former.
So, we will get the quotient $\dfrac{5y}{18}.$
Let us put this last part of the statement in place of $'5y$ divided by $18.'$
Then, we will get $4\times \dfrac{5y}{18}.$
Now, we need to simplify this expression by using the operations, multiplication and division.
Let us cancel the common factor $2$ from $4$ and $18.$
Thus, we will get $4\times \dfrac{5y}{18}=2\times \dfrac{5y}{9}.$
Now, we can multiply $2$ and $5$ to get $4\times \dfrac{5y}{18}=\dfrac{10y}{9}.$

Hence the simplified form of the given statement is $\dfrac{10y}{9}.$

Note: It is not necessary to simplify the given fraction and write it in the form of a decimal number. But we should remember that it is possible to convert the fraction $\dfrac{10}{9}$ into the decimal number $1.111.$ So, the simplified form of the given statement will become $1.111y.$