Question

The product of \[\dfrac{9}{7}\] and a number is \[63\]. Find the number.

Answer 1

Hint: In this question, we have to find the number which when multiplied with \[\dfrac{9}{7}\] gives the product \[63\] . We will consider the number to be \[x\] . Then we will write the mathematical equation of the given word problem. Then we will simplify the equation using the BODMAS rule to find the value of the required number.

Complete step by step answer:
This question is based on the word problem of simplification of fraction. In mathematics, simplification refers to step by step solving the question using the BODMAS rule. A fraction is defined as part of a whole number. It is of the form \[\dfrac{a}{b}\], where \[a\] and \[b\] are integers, and known as numerator and denominator respectively.

Considering the given question, we are given that the product of two numbers (\[\dfrac{9}{7}\] and a number) is \[63\]. And we have to find the number. Let us consider the given number to be \[x\]. According to the question, the product is \[63\] . This can be mathematically written as, \[\dfrac{9}{7} \times x = 63\]
Multiplying both sides by \[7\] , we get
\[ \Rightarrow 9 \times x = 63 \times 7\]
On dividing both sides by \[9\] , we get
\[ \Rightarrow x = \dfrac{{63 \times 7}}{9}\]
On solving the product we get
\[ \therefore x = 49\]

Hence the required number is \[49\].

Note:BODMAS is a mathematical rule that defines the order of performing calculations. Here, B stands for Bracket. O stands for Of. D means Divide. M stands for Multiplication. A stands for Addition. And S stands for Subtraction. While solving any equation, we must always perform the same operations ( i.e. addition, subtraction, multiplication and division) to both sides of the equation.