Write each fraction as a percent. 3/25

Verified step by step guidance

1. Step 1: Understand the relationship between fractions and percentages. A percentage is a fraction out of 100.
2. Step 2: Set up a proportion to convert the fraction $\frac{3}{25}$ to a percentage. You want to find $x$ such that $\frac{3}{25}=\frac{x}{100}$.
3. Step 3: Solve the proportion by cross-multiplying. This means you multiply 3 by 100 and 25 by $x$.
4. Step 4: Set up the equation from the cross-multiplication: $3\times 100=25\times x$.
5. Step 5: Solve for $x$ by dividing both sides of the equation by 25. This will give you the percentage equivalent of the fraction.

Key Concepts

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator indicates how many parts are taken and the denominator indicates the total number of equal parts. Understanding fractions is essential for converting them into other forms, such as decimals or percentages.

Percentages

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions and is denoted by the symbol '%'. To convert a fraction to a percentage, you multiply the fraction by 100 and add the percent sign, which helps in understanding relative sizes and comparisons.

Conversion Techniques

Conversion techniques involve methods used to change a number from one form to another, such as from fractions to percentages. This typically includes multiplying the fraction by 100 and simplifying the result. Mastery of these techniques is crucial for solving problems that require different numerical representations.