Simplify the expression 4/5 - 6.
Understand the Problem
The question is asking us to simplify a mathematical expression involving fractions. The expression given is \frac{4}{5} - \frac{6}{1} and needs to be simplified correctly.
Answer
The simplified expression is \( \frac{-26}{5} \).
Answer for screen readers
The simplified expression is ( \frac{-26}{5} ).
Steps to Solve
- Convert the whole number to a fraction
To subtract the fractions, rewrite the whole number ( 6 ) as a fraction.
$$ 6 = \frac{6}{1} $$
- Find a common denominator
The denominators are ( 5 ) and ( 1 ). The least common denominator (LCD) is ( 5 ).
- Rewrite the fractions with the common denominator
Convert ( \frac{6}{1} ) to a fraction with a denominator of ( 5 ):
$$ \frac{6}{1} = \frac{6 \times 5}{1 \times 5} = \frac{30}{5} $$
- Subtract the fractions
Now substitute back into the expression to perform the subtraction:
$$ \frac{4}{5} - \frac{30}{5} = \frac{4 - 30}{5} = \frac{-26}{5} $$
The simplified expression is ( \frac{-26}{5} ).
More Information
The final result of ( \frac{-26}{5} ) shows that the initial fraction ( \frac{4}{5} ) is smaller than ( 6 ), resulting in a negative value. This means that when you take ( 6 ) away from a fraction smaller than it, the result will be negative.
Tips
- Forgetting to convert the whole number to a fraction, which would affect the subtraction.
- Not finding the least common denominator can lead to incorrect comparisons or results.
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