Simplify 2/3/2
In mathematics, simplification is the process of reducing an expression to its most basic form. This can be done by using the rules of arithmetic, such as multiplication, division, addition, and subtraction.
The expression 2/3/2 can be simplified in a few different ways. One way is to use the rule of division before multiplication. This gives us:
2/3/2 = 2/(3*2) We can then simplify the fraction by dividing the numerator and denominator by 2:
2/(3*2) = 2/6 This gives us the simplified expression:
2/6 = 1/3 Another way to simplify the expression is to use the rule of multiplication before division. This gives us:
2/3/2 = (2*2)/3 We can then simplify the expression by multiplying the numerator and denominator by 2:
(2*2)/3 = 4/3 This gives us the same simplified expression as before:
4/3 = 1/3 Here are some questions related to simplifying 2/3/2:
- What is the difference between division before multiplication and multiplication before division?
The difference is that division before multiplication follows the order of operations, while multiplication before division does not. In general, division and multiplication should be performed in the order that they appear in an expression. However, there are some exceptions to this rule. For example, if an expression contains a negative sign, the negative sign should be distributed before any division or multiplication is performed.
- What are some other ways to simplify 2/3/2?
There are a few other ways to simplify 2/3/2. One way is to use the rule of cancellation. This rule states that if the numerator and denominator of a fraction have a common factor, the fraction can be simplified by dividing the numerator and denominator by that common factor. In this case, the numerator and denominator have a common factor of 2. Therefore, we can simplify the expression by dividing the numerator and denominator by 2:
2/3/2 = (2/2)/(3/2) This gives us the simplified expression:
1/3 Another way to simplify 2/3/2 is to use the rule of factoring. This rule states that if the numerator and denominator of a fraction can be factored, the fraction can be simplified by factoring the numerator and denominator and then dividing the numerator and denominator by the common factors. In this case, the numerator and denominator can both be factored as follows:
2/3/2 = (2/(3*1))/2 We can then simplify the expression by factoring the numerator and denominator and then dividing the numerator and denominator by the common factors:
(2/(3*1))/2 = (2/(3*1))/2 This gives us the simplified expression:
1/3 In conclusion, there are a few different ways to simplify 2/3/2. The best way to simplify an expression depends on the specific expression and the rules of mathematics that are being applied.
