Question

Simplify \[\left[ {38 \div \left( { - 57} \right)} \right]\]

Answer 1

Hint:
Here we will first write the given expression in the form of the fraction. Then we will write the terms in the numerator and denominator in terms of their factors. We will then cancel out the common factors to get the simplified equation.

Complete Step by Step Solution:
Given expression is \[\left[ {38 \div \left( { - 57} \right)} \right]\].
First, we will write the expression in the form of numerator and denominator i.e. fraction form. Therefore, we get
\[ \Rightarrow \left[ {38 \div \left( { - 57} \right)} \right] = \dfrac{{38}}{{ - 57}}\]
Now we will write the number in the numerator as well as in the denominator in the form of its factors. Therefore, we get
\[ \Rightarrow \left[ {38 \div \left( { - 57} \right)} \right] = \dfrac{{19 \times 2}}{{19 \times \left( { - 3} \right)}}\]
Now we will cancel out the common factors present in the numerator and denominator of the equation, we get
\[ \Rightarrow \left[ {38 \div \left( { - 57} \right)} \right] = - \dfrac{2}{3}\]

Hence, the simplified equation of \[\left[ {38 \div \left( { - 57} \right)} \right]\] is equal to \[ - \dfrac{2}{3}\].

Additional Information:
There are different types of mathematical operations other than division. They are addition, subtraction, etc. The addition is the operation in which two numbers are combined to get the result. Subtraction is the operation which gives us the difference between the two numbers. Multiplication is the operation in which the one number is added to itself for some particular number of times. Exponent is defined as the number which represents how many times a number is being multiplied to itself.

Note:
Factors are the smallest numbers with which the given number is divisible and their multiplication will give the original number. We have expressed the given expression in the form of a fraction.
There are three different types of fraction:
1) Proper fractions are a fraction having the numerator less, or lower in degree, than the denominator. The value of proper fraction after simplification is always less than 1.
2) An improper fraction is a fraction where the numerator is greater than or equals the denominator. After the simplification of an improper fraction results in the value which is equal or greater than 1, but not less than 1.
3) A mixed Fraction is the combination of a natural number and fraction. After the simplification of a mixed fraction results in the value which is always greater than 1.