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Rewrite the expression c + 0.25c using fractions.

User Gafar
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Final Answer:

The expression
\(c + 0.25c\) can be rewritten as
\( (5)/(4)c \).

Step-by-step explanation:

To rewrite
\(c + 0.25c\) using fractions, we can factor out
\(c\) from both terms. Factoring
\(c\) out of
\(c + 0.25c\) yields
\(c(1 + 0.25)\) . Simplifying the expression inside the parentheses, we get
\(c * 1.25\) . To represent
\(1.25\) as a fraction, we note that it is equivalent to
\((5)/(4)\). Therefore, the final expression is
\( (5)/(4)c \).

Understanding how to manipulate expressions involving decimals and fractions is essential in mathematics. By factoring out common factors and simplifying terms, we can represent expressions in a more concise and clear form. In this case, expressing
\(0.25\) as
\((1)/(4)\) allows us to combine like terms and present the expression
\(c + 0.25c\) as the fraction
\((5)/(4)c\).

This process of converting decimals to fractions and combining terms is a fundamental skill in algebra and provides a basis for more complex algebraic manipulations. It is particularly useful in solving equations, simplifying expressions, and understanding the relationships between different mathematical representations.

User Egglabs
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