How to Simplify Fractions with Brackets

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In summary, brackets are used in fractions to group numbers together and ensure correct operations are carried out. To simplify fractions with brackets, apply operations inside first and then use fraction rules. Brackets do not change the value of a fraction, but can affect the order of operations. When solving equations with fractions and brackets, apply operations, simplify, and then solve for the variable. While not necessary, brackets can be helpful in indicating the order of operations when working with fractions.
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how do I work out this problem?19/20-(1/2-3/10)
 
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unknown said:
how do I work out this problem?19/20-(1/2-3/10)
With PEDMAS (or any of it's twins) you always start with what's inside the brackets. In this case
\(\displaystyle \frac{1}{2} - \frac{3}{10}\)

Get a common denominator. In this case it is 10. So we have
\(\displaystyle \frac{1}{2} \cdot \frac{5}{5} - \frac{3}{10} = \frac{5}{10} - \frac{3}{10}\)

Can you finish from here?

(As a slightly more advanced tip you might want to think about the common denominator of all three fractions. That would be 20.)

-Dan
 

FAQ: How to Simplify Fractions with Brackets

What is the purpose of using brackets when working with fractions?

Brackets in fractions are used to indicate that the numbers within them should be treated as a single unit. This helps to avoid confusion and ensures that the correct operations are carried out when solving equations.

How do you simplify fractions with brackets?

To simplify fractions with brackets, you must first apply the operations inside the brackets. Then, you can use the rules of fractions to simplify the expression further. Remember to always simplify the numerator and denominator separately.

Can brackets change the value of a fraction?

No, brackets do not change the value of a fraction. They are used for grouping purposes and do not affect the actual value of the fraction. However, they can change the order of operations and therefore affect the final result.

How do you solve equations with fractions and brackets?

When solving equations with fractions and brackets, you must first apply the operations inside the brackets. Then, use the rules of fractions to simplify the expression. Finally, you can solve for the variable using standard algebraic techniques.

Is it necessary to use brackets when working with fractions?

No, it is not necessary to use brackets when working with fractions. However, they can be helpful in indicating the order of operations and avoiding confusion. It is ultimately up to personal preference and the complexity of the equation being solved.

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