Question

Rewrite the expression c + 0.25c using fractions.

Answer 1

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.