Question

How do you write the expression of the phrase “4 less than three sevenths of y”?

Answer 1

Hint: We will have to read the question carefully to understand and solve this problem. In this question, we will find the mathematical term or mathematical expression of the line “4 less than three sevenths of y”. In this question, first we will take the variable y. After that, we will multiply 3 and divide 7 by the variable. After that, we will subtract 4 from that expression. After that, we will get the solution.

Complete step-by-step answer:
Let us solve this question.
The question is asking us to write the expression of the phrase “4 less than three sevenths of y”. Or we can say it is asking us to find the mathematical expression of the phrase “4 less than three sevenths of y”.
So, let us first take a variable y.
Now, we will find the three sevenths of y
The three sevenths of y will be like 3 will be multiplied with y and 7 will be divided by 3.
So, we can write three sevenths of y as\[\dfrac{3}{7}y\].
In the question, it is said that 4 less than three sevenths of y.
So, 4 will be subtracted from the term three sevenths of y that is \[\dfrac{3}{7}y\].
Hence, we can write the expression of the phrase “4 less than three sevenths of y” as \[\left( \dfrac{3}{7}y-4 \right)\].

Note: One can make mistakes here at the time of solving this type of problem. Students can make mistakes like they will not read the questions carefully. Then, they will not get the correct solution. So, be aware of that. Don’t get confused if it is written as three sevenths of a number. The first term that is three is always written in numerator and the second term that is sevenths is always written in the denominator. And, then the fractional term is multiplied with that number.