Problem 492 Simplify. $$ -\frac{7}{15}-\... [FREE SOLUTION]

Chapter 1: Problem 492

Simplify. $$ -\frac{7}{15}-\frac{y}{4} $$

Short Answer

Expert verified

-\frac{28 + 15y}{60}

Step by step solution

- Find a common denominator

The fractions given are $-\frac{7}{15}$ and $-\frac{y}{4}$. To combine these fractions, find a common denominator. The denominators are 15 and 4. The least common multiple of 15 and 4 is 60.

- Convert each fraction to have the common denominator

Convert $-\frac{7}{15}$ to a fraction with the denominator 60: $-\frac{7 \times 4}{15 \times 4} = -\frac{28}{60}$. Convert $-\frac{y}{4}$ to a fraction with the denominator 60: $-\frac{y \times 15}{4 \times 15} = -\frac{15y}{60}$.

- Combine the fractions

Both fractions now have a common denominator, so they can be combined: $-\frac{28}{60} - \frac{15y}{60} = -\frac{28 + 15y}{60}$.

- Simplify the expression

Combine the terms in the numerator to get the final simplified form: $-\frac{28 + 15y}{60}$.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Simplifying Expressions

Simplifying an expression means making it as simple as possible without changing its value. When dealing with fractions, simplification often involves combining like terms and reducing the fraction to its lowest terms.

After converting each fraction to a common denominator, we can combine them into a single fraction. In the exercise, these conversions yielded $-\frac{28}{60}$ and $-\frac{15y}{60}$.
To combine them: Simply add or subtract the numerators while keeping the common denominator: $-\frac{28}{60} - \frac{15y}{60} = -\frac{28 + 15y}{60}$.
This final step involves ensuring the expression is in its simplest form. Here, there are no common factors to simplify further, so the simplified form remains $-\frac{28 + 15y}{60}$.

Remember, mastering these steps helps to understand and solve more complex problems involving fractions efficiently!

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91影视

Simplify. $$ -\frac{7}{15}-\frac{y}{4} $$

Short Answer

Step by step solution

- Find a common denominator

- Convert each fraction to have the common denominator

- Combine the fractions

- Simplify the expression

Key Concepts

Simplifying Expressions

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